Answered: The ratio of the lengths of the radii…

Name: Help, please The ratio of the lengths of the radii of twosimilar cones
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Help, please The ratio of the lengths of the radii of twosimilar cones is 3:5. What is the ratio of thesurface areas of these cones?

Math

Geometry

The ratio of the lengths of the radii of two similar cones is 3:5. What is the ratio of the surface areas of these cones?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.2: Pyramids, Area, And Volume

Problem 44E

See similar textbooks

Related questions

Q: The volumes of two spheres are in the ratio 64:27. The ratio of their surface areas will be?

A: Volume of sphere =43πr3Surface area of sphere =4πr2

Q: If in the frustum of a cone the diameter of the upper base equals the slant height, find the lateral…

Q: In AKLM, the measure of ZM=90°, KM = 48, LK = 73, and ML = 55. What ratio represents the %3D cosine…

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: 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: A cylindrical can has a radius of 5inches and a height of 7inches . A rectangular prism has the same…

A: cross section area of cylinder

Q: Two similar cones have heights of 4m and 12m. What is their scale factor? What is the ratio of their…

A: Given: Both cone are similar

Q: If the radii of two similar cones have a 2:7 ratio, what is the ratio of their surface areas? O…

A: If two cones are similar then the ratio of their surface area is the ratio of the square of their…

Q: In AKLM, the measure of ZM=90°, KM = 40, LK = 41, and ML = 9. %3D What ratio represents the tangent…

A: SOLUTION-

Q: A cylinder and a cone, each with 9-m radii and 5-m heights Are the shapes similar? If the shape are…

A: A cylinder and a cone, each with 9-m radii and 5-m heights

Q: Two circles, with radii of 3 m and 5 m, respectively are 4 m apart. Find the area of the portion of…

Q: The volumes of two similar solids have an 125: 216 ratio. What is the ratio of their side lengths? O…

A: Volume of solids is directly proportional to the cube of the side length

Q: what is the scale factor of the dilation if the pre-image of triangle ABC has the side length AB of…

A: Given Data: The length of side AB of pre-image triangle ABC is: AB=10 cm The length of side A'B' of…

Q: Two similar pyramids have a surface area ratio of 81:29. Find the volume of the smalller pyramid,…

A: for two similar solidscale factor =abRatio of the Surface Areas=ab2Ratio of volume =ab3

Q: Three pipes, each of radius 4 in, are stacked as shown. What is the height of the stack?

Q: Find the ratio in lowest terms of 66 turns of a filament coil to 220 turns of the primary coil. O…

Q: Given the mass of a material to be 100 grams and a density of 4g/cc, compute the sphericity if the…

A: Using spericity formula

Q: If the cones below are similar, what is the ratio of the surface area of Cone A to the surface area…

Q: The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15…

Q: Given a square pyramid with the base edge of 10 m. and slant height of 6 m. Find the measure of the…

Q: How do the changing SA/V ratios for spheres of differing radii compare to the relationship of SA/V…

A: The surface area and volume of sphere is given by

Q: If the surface area of cone D is 55Tt, and the distance s between the cone's tip and a point on the…

Q: The ratio of the areas of two circles is equal to the ratio of their radii. true or false?

A: According to given, Let the radius of circle1 be r1. The radius of circle 2 be r2. Therefore, Area…

Q: If the surface area of a right angle cone A is 48Tt, and the distance from the tip of the cone to a…

Q: Three pipes, each of radius length 4 in., are stacked as shown. What is the height of the stack?

A: Consider the figure with three circle of radius r=4 in. stacked together. Find the height of the…

Q: The sphere and cone have equal volumes. 8 in. 4 in. What is the height of the cone? (Note: The dra

A: We have to find the height of cone.

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: A cone has a volume of 108 pi and a base diameter of 12. what is the height of the cone? This is…

Q: What is the area of the bottom? If the surface area of a right angle cone A is 48Tt, and the…

Q: hree pipes, each of radius length 4 in., are stacked as shown. What is the height of the stack?

Q: The corresponding sides of two regular pentagons are 2 in. and 7 in. What is the ratio of their…

A: Given that the corresponding sides of two regular pentagons are 2 in. and 7 in.

Q: Find the lateral area of the square pyramid shown, to the nearest whole number. 38 yd 42 yd Not…

A: Area of square pyramid is given by formula below

Q: Two similar trapezoids have areas of 180 cm2 and 45 cm2. What is their ratio of similarity? O A. 1:2…

A: Solve for ratio

Q: A spherical wedge is cut with a central angle of 45° and has a volume of 120 cu cm. What is the…

A: Solution:Given ;Wedge angle =θ =45°volume of spherical wedge =120cm3radius of sphere =r=?we know…

Q: The radius of the base of a riught circular cone is 2m and its height is 3m. What is the slant…

A: The redius of the base of a right circular cone is 2m and its height is 3m .then we find the slant…

Q: Calculate the SA/V ratio for a sphere with a radius of 2.

A: Consider the given radius of the sphere:

Q: The formula for the volume of a cone is most closely related to which of the following…

A: The formula for the volume of a cone is most closely related to which of the following…

Q: The area of an annulus is equal to a quarter of the area of the inner circle. Solve for the…

A: In this question we have to find the diameter.

Q: How many shots each having diameter 3 cm can be made from a cuboidal lead solid of dimensions 9 cm *…

Q: For an aluminum can, the lateral surface area is 70π in². If the length of the altitude is 2in…

A: We are given that the lateral surface area is 70π in². We are also given that the length of the…

Q: The base areas of two similar prisms are 32 and 200, respectively.a. Find the ratio of their…

A: The base areas of two similar prisms are 32 and 200

Q: 5. Use formulas to find the lateral arca and surface area of the given prism. nearest whole number.…

A: Given: dimensions of a rectangular prism or Cuboid. Length = 17m width = 7m Height = 1m To find:…

Q: If the pyramids below are similar, what is the ratio of the surface area?

Q: - and a cone have congruent heights and radii. What is the ratio of the volume o the volume of the…

Q: Given three circles of radius r, tangent to each other as shown in the following diagram, what is…

A: ANSWER B: Let the radius of the circle be "r" Three circles are forming an equilateral triangle So,…

Q: The distance between the centers of three circles which are mutually tangent to each other…

Q: Whats the radius and height of a cone with slant height of 14.4cm and a curved surface area of…

A: Topic :- geometry

Q: For a cone with a base radius of 0.45 m and a height of 2.18 m, if the error in the radius is E1,…

A: given that base radius of cone r=0.45 m height of cone h=2.18 m Error in radius is E1 Error in…

Q: What is the volume ratio between the spheres shown?

A: given,

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

Topic Video

Question

Help, please

The ratio of the lengths of the radii of two
similar cones is 3:5. What is the ratio of the
surface areas of these cones?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

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

Similar questions

Three pipes, each of radius length 4 in., are stacked as shown. What is the height of the stack?
The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the prism is 10 in. find the a Lateral area. b total area. c volume.
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?
A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?
The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the prism measures 11cm.calculate the lateral area of the right prism.
A triangle has a base of 8.4 cm and a height of 12.5 cm. What is the area of the triangle?
Compute the number of cubic centimeters of material in the locating saddle shown. Round the answer to the nearest cubic centimeter.
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?