A tank in the form of a right circular cone is 5 ft. high and its base is 3 ft. in radius. It is desired to build a similar tank whose volume is twice as great. What should the dimension of the larger tank.

A tank in the form of a right circular cone is 5 ft. high and its base is 3 ft. in radius. It is desired to build a similar tank whose volume is twice as great. What should the dimension of the larger tank.

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

Section9.3: Cylinders And Cones

Problem 40E: For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is...

See similar textbooks

Related questions

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

Q: A cylinder has a base diameter of 8ft and a height of 20ft. What is its volume in cubic ft, to the…

A: The solution is :

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: We find volume of both containers then find percentage

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

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: The image below shows a square pyramid being pushed into the corner of a box. If the pyramid has a…

A: We need to find volume of pyramid.

Q: Find the volume of a cone with a base circumference of 19π cm and a height 6 cm less than twice the…

A: base of the cone is circle

Q: A cylinder has a base diameter of 6m and a height of 12m. What is its volume in cubic m, to the…

Q: An oil tank in the shape of a sphere has a diameter of 60 ft. How much oil does the tank contain if…

A: Given a spherical tank. Its diameter and depth are given. We need to find how much oil the tank can…

Q: If the diameter of the base remains constant, by what factor should the altitude be multiplied to…

Q: For a regular square pyramid, the slant height of each lateral face has a measure equal to that of…

Q: The Great Pyramid of Giza has a square base which measures 230 m on each side. The slant height of…

A: The square pyramid consist of a square base and 4 side triangles. But only the triangles are…

Q: A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can…

A: Given that Height of cylindrical tank is 5 ft. Radius of the cylindrical tank is 2 ft. It is known…

Q: The bases of a right prism is a hexagon with one of each side equal to 6 cm. The bases are 12 cm…

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

A: Container A has Diameter = 8 feet ~ r = 4 feet Height = 16 feet. Container B has Diameter = 6…

Q: A

Q: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and the height…

A: Given that: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and…

Q: A solid cone of butter with radius 3cm and height 4cm is melted down and poured into a cylindircal…

Q: A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If ecach cubic foot can…

A: Given- A cylindrical stroage tank has a depth of 5 ft and radius m,easuring 2 ft. To find- The total…

Q: If a spherical tank 4 m in diameter can be filled with a liquid for $800, find the cost to fill a…

Q: If the total surface area of a solid right circular cylinder is 200pi sq. cm. and its radius is 5cm,…

Q: The sum of the radii of the bases of a frustum of a cone is 7 cm. If it has an altitude of 6 cm and…

Q: A cylinder has a base diameter of 10m and a height of 14m. What is its volume in cubic m, to the…

A: Volume of cylinder = πr2h

Q: A gasoline tanker truck has a cylindrical tank that is 35 feet long and has a radius of 6 feet. What…

Q: The Great Pyramid of Egypt almost has a square base with length of side of about 230m. If the height…

A: Given that, The Great Pyramid of Egypt has a square base with a length of side 230m and the height…

Q: A cone has a height of 30 m and a volume of 990 m3 . What is the radius of the base?

Q: If you double the length of the radius of a sphere from its original length, what effect does that…

A: Given that: Length of radius of a sphere is doubled.

Q: A building in the shape of a cube has a width of 63 ft., a length of 63 ft., and a height of 63 ft.…

A: Given:

Q: Given a sphere of radius 10 ft, what is the volume of the largest cylinder which can be inscribed in…

Q: If 1,200 cm2 of material is available to make a box with a square base and an open top, find the…

Q: If the 3 cm radius by 20 cm height cone was placed inside the cylinder with the same dimensions, how…

Q: If the exact volume of a right circular cylinder is 200 cm³ and its altitude measures 8 cm, what is…

A: Volume of the right circular cylinder is πr2h, where r-radius and h-height

Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

Q: The radius of a cylindrical construction pipe is 2 ft, if the pipe is 21 ft long,what is the volume

A: Given that the radius of the cylindrical pipe is 2ft and its height is 21 ft. The volume of the…

Q: It is desired to build a "roll-on" system from which a quarter of the diameter of the sphere…

A: Consider a sphere of radius R. The volume of a cap of height h corresponding to the base radius of r…

Q: A trough with a rectangular base and rectangular sides has vertical trapezoidal ends and is 200 cm…

Q: A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an…

A: Given : A snowcone with radius of 4 cm is sold in a cone shaped paper cup with a height of 12 cm…

Q: A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the upper…

A: Given , A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the…

Q: The exact volume of a right circular cone (not shown) is 32n in'. If the length of the base radius…

A: Given: volumev of right circular cone is 32π in3 We know that volumev of right circular cone is…

Q: The bases of a right prism is a hexagon with one of each side equal to 8 cm. The bases are 15 cm…

Q: Two similar cones have volumes 12π and 96π. If the lateral area of the smaller cone is 15π, what is…

A: since the cones are similar so l1l2 = r1r2 the the volumes are v1=12π unit3 , v2=96π unit3 so curved…

Q: If the radius of a sphere is doubled, the area of the sphere is multipliedby____ and the volume is…

A: Consider the given information as If the radius of a sphere is doubled, the area of the sphere is…

Q: Find the volume of the cone given its radius is 4 cm and its slant height of 6 cm. If necessary,…

A: Given query is to find the volume of the cone.

Q: A company wants to come up with a package box that has a square base a volume of 125 ft?. What…

Q: A regular square pyramid has lateral area of 60m^2 and base edge of 6m. What is its volume?

A: Given that, A regular square pyramid has lateral area of 60 m2 and base edge of 6 m. We have to find…

Q: A cylinder has a base radius of 6ft and a height of 18ft. What is its volume in cubic ft, to the…

Q: A lead pencil whose ends are regular hexagons was cut from a cylindrical piece of wood, with the…

A: It is given that the diameter of the cylindrical piece of wood is 0.5 in. Then the side length of…

Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

Q: A spherical water tank has a radius of 31 feet is being replaced with a cylinder tank with the same…

Question

100%

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Spheres$

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

A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gallon of gasoline, what is the total storage capacity of the tank measured in gallons?
For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
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?
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?