Needed some help with these questions, thanks! Two pyramids are similar and their surface areas are in a ratio of 1:4. What is theratio of their volumes?6)a.1:2b.1:4с.1:8d.1:16е.1:32Two cylinders are similar and their volumes are in a ratio of 5:4. If the smallercylinder has a radius of 10, find the other cylinder's radius to the nearest tenth.7)a.9.7b.10.1с.10.5d.10.8е.11.08)Square pyramid A has a height of 4 and a base side length of 6. Find pyramid B's heightif it is similar to pyramid A and has a surface area of 144.3.33.9a.b.с.6.5d.5.7е.5.29)If two prisms are similar and their surface areas are in a ratio of 9: 25, what is theratio of their volumes?a.1:5b.3:5с.9:25d.27:125е.81:375 5)Cone A has a volume of 16 and a surface area of 10. Cone B is similar to cone A and hasa surface area of 16. What is cone B's volume to the nearest integer?a.27b.32C.35d.39е.41

According to the guidelines of bartleby I will do only first question please ask rest of the…

Answered: 6) Two pyramids are similar and their…

6) Two pyramids are similar and their surface areas are in a ratio of 1:4. What is the ratio of their volumes? a. 1:2 b. 1:4 C. 1:8 d. 1:16 е. 1:32

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter15: Roots

Section: Chapter Questions

Problem 19A

See similar textbooks

Related questions

Q: 1. If the length of the radius of the base of the cone is r, what is the area of its base? 2. If the…

A: Given radius of base of cone is r we have to find the area of its base

Q: 7) Given the similarity ratio between two octagons is and the perimeter of the smaller octagon is…

Q: the volumes of two spheres are in a ratio of 1 : 8. what is the ratio of their radii?

A: Volume is the space covered in three dimensional by the object or any geometric figure. It is the…

Q: 1. Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5 meters and…

A: Hello, thank you for the question. We’ll answer the first question since the exact one wasn’t…

Q: A cylinder and a cone have equal base radii and equal heights. If the volume of the cone is 50 cm',…

Q: If two prisms are similar and their surface areas are in a ratio of 9:25, what is the ratio of their…

A: For two similiar prisms their ratios of volumes are equal to their surface area.

Q: According to Cavalieri's Principle, which pair of shapes would have equal volumes? O A. a cone and a…

A: According to given cavalieri principle,we know

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what will be…

Q: 1. A regular pentagonal pyramid has an altitude of 20 cm and a slant height which measures 25 cm.…

Q: 3. The volume of oblique prism with a pentagon base is 9000 cubic feet. and an edge of 150 feet…

A: Given- The volume =9000 ft3,length of the edge= 150 ft, θ=30°. To Find- The length of the side.…

Q: 3. A cone and a cylinder with the same height also share the same base. If the height of each solid…

Q: A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio…

A: Volume of Prism = area of base of prism × height i.e. , = A×2 (Let A…

Q: 11. The apothem and the height of a regular four-cornered pyramid are 8 cm and 4 cm respectively.…

Q: 5) The volumes of two similar solids are 125 cm³ and 64 cm³. a) What is the ratio of their heights?

Q: Find the mid-section area of the prismatoid if its volume is 1200 cm3 the height is 18cm, the lower…

A: The volumeV=h6·U+4M+L of the prismatoid is

Q: a regular pyramid whose base is an equilateral triangle with side 10cm has an altitude of 15 cm,…

Q: A square pyramid has a base with side length 24 cm and has a slant height of 15 cm. What is the…

Q: 1. Which has a bigger volume, a sphere with radius 2 meters or a pyramid with base 2.5 meters and…

A: Note: As per bartleby instruction when more than one question is given only one has to be answered.…

Q: 3. Find the area of the base of a regular square pyramid whose lateral faces are equilateral…

A: Solution by pythogoras theorem

Q: 16) The radius of a fresh wheel of cheese is 3 inches and the height is 6 inches. (a) What is volume…

A: The radius of a fresh wheel of cheese is 3 inches and the height is 6 inches.A wedge is cut from the…

Q: A regular hexagonal pyramid whose base perimeter is 60 cm has an altitude of 30 cm, the volume of…

Q: 15. A pyramid with a square base and altitude 20 ft is built. If the square is 8 ft on a side, what…

Q: The radii of parallel circular sections of a sphere are 4 in and 4.8 in, while the radius of the…

A: Here we are given , r1 = 4 , r2=4.8 and R =5To find h: O: Centre of sphere⊙ AO = OD =…

Q: 1. How would you make a three-dimensional representation of a dog, using only the geometric solids?…

Q: 3. The exhaust chute on a wood chipper has a shape like the part of a pyramid known as the frustrum…

A: The volume of exhaust chute is the difference of two pyramids. Since the base is square. Determine…

Q: 2. A regular pyramid has height of 18 ft and a total surface area of 648 ft?. A similar pyramid has…

Q: 4. A milldam of earth, with plane sloping sides of rectangular bases, 10 m. by 5 m. at the top and…

A: Area of top = b = 10 * 5 = 50 m2 Area of bottom = B = 20 * 10 = 200 m2 Height of…

Q: 5. What is the volume of the sphere of radius 'a? a) ra . πα b) 4rta c) ra² d) 등ma πα. ,3

Q: Given a regular hexagonal pyramid of base edge 8 inches and height equal to 7 inches, find its…

Q: Consider a right pyramid whose base is an equilateral triangle of side 4 cm each. If each slant edge…

Q: Please help

A: Given, height = 24 cm base length = 20 cm

Q: Find the mid-section area of the prismatoid if its volume is 1200 cm2 the height is 18cm2 , the…

A: Volume of prismatoid is given by V=16hA1+M+A2 where h denotes the height of prismatoid, A1 is the…

Q: 4. In a regular pentagonal pyramid, each edge of the base has length of 9.2 cm, an apothem of length…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: 1. The lateral area of a right cylindrical tank is 487 m² and its volume is 727 m³. Find the…

A: (1) Lateral surface of a cylinder with height h and base radius r is S=2πrh Volume of the same…

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what wil be…

A: Cylinder, Hemisphere and Cone have same bases i.e. all three have same radii (say r) Also the height…

Q: 8. Find the VOLUME of the pyramid that I'm looking at. It is 147 m on each side and 139 m high

Q: The volume of the frustum of a regular triangular pyramid is 135 cu.m. The lower base is an…

Q: 1. Find the total area of the frustum of a cone whose slant height is 2.6 meters and the radii of…

Q: A regular hexagonal pyramid has a slant height of 4 cm and the length of each side of the base is 6…

Q: Find a) Lateral area L b) Total area A c) Volume V

Q: Find the volume of a cone to be constructed from a sector having a radius of 36 cm and a central…

Q: The volume of a frustum of a regular triangular pyramid is 135 cu.m. The lower base is an…

Q: A square based prism and a cylinder both have the same height of 4 cm and the same base area. If the…

Q: 3. What is the surface area of this regular pyramid? 12 ft 10 ft O 240 ft2 300 ft2 O 340 ft2 O 250…

Q: Consider the accompanying figure. When the four congru- ent isosceles triangles are folded upward, a…

A: The given figure:

Q: The roof of a water tower is composed of eight equal isosceles triangles whose vertices meet at the…

A: Given that, The roof of a water tower is composed of eight equal isosceles triangles whose vertices…

Q: 2. The volumes of two similar pyramids are 1331 cm³ and 2744 cm³. Find the ratio of their heights.…

Q: If two cubes each of side 6 cm are joined face to face , then find the volume of the resulting…

Q: A cone has a radius of 9 and a height of 6. What is the volume?

A: Since, the exact question was not specified. We can answer very first question only. To find: The…

Question

Needed some help with these questions, thanks!

Two pyramids are similar and their surface areas are in a ratio of 1:4. What is the
ratio of their volumes?
6)
a.
1:2
b.
1:4
с.
1:8
d.
1:16
е.
1:32
Two cylinders are similar and their volumes are in a ratio of 5:4. If the smaller
cylinder has a radius of 10, find the other cylinder's radius to the nearest tenth.
7)
a.
9.7
b.
10.1
с.
10.5
d.
10.8
е.
11.0
8)
Square pyramid A has a height of 4 and a base side length of 6. Find pyramid B's height
if it is similar to pyramid A and has a surface area of 144.
3.3
3.9
a.
b.
с.
6.5
d.
5.7
е.
5.2
9)
If two prisms are similar and their surface areas are in a ratio of 9: 25, what is the
ratio of their volumes?
a.
1:5
b.
3:5
с.
9:25
d.
27:125
е.
81:375

5)
Cone A has a volume of 16 and a surface area of 10. Cone B is similar to cone A and has
a surface area of 16. What is cone B's volume to the nearest integer?
a.
27
b.
32
C.
35
d.
39
е.
41

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Research Ethics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Similar questions

The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What is the length of each edge of the original cube?
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle that has the smallest perimeter. What type of figure has the smallest perimeter?
The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
A sphere has a volume equal to 997in3. Determine the length of the radius of the sphere. Use227.
Consider the information in Exercise 2, but suppose you know that the area of the region defined by the intersection of the square and the circle measures 5. What is the area of the entire colored region? 2. The area of the square is 12, and the area of the circle is 30. Does the area of the entire shaded region equal 42? Why or why not?
For a right circular cone, the slant height has a measure equal to twice that of the radius length of the base. If the total area of the cone is 48in2, what are the dimensions of the cone?