Prisms & Cylinders
If it costs $1.75 per square food, what is the approximate total cost of making an open ended pipe with a diameter of 2 feet and a height of 3 feet?
$329.87
What is the volume of a cone that has a radius of 4 inches and a slant height of 5 inches?
50.24 in3
What is the volume of a basektball with a diameter of 14 inches? (round to the nearest tenth).
1436.8 in3
Cal is making two picture frames of similar dimensions. If the width and height of the larger frame is 10 feet by 6 feet, what is the perimeter of the smaller frame if the width is 7 feet?
22.4 ft2
The volume of a cylinder is 1,276.48 ft3. If the height of the cylinder beomes 4 times as small, what will the volume become?
319.12 ft3
Ryan is wrapping a gift for his friend. How much wrapping paper will ryan need to cover a present that has a width of 7 inches, a depth of 6 inches, and a height of 2 inches?
136 in2
A regular pyramid has a base area of 49 sq cm and a slant height of 6 cm. What is the surface area of the pyramid?
133 cm2
A sphere has a surface area of 23 m2. If the radius of the sphere is doubled, what will be the surface area of the larger shere, in m2?
91.6 m2
Javea was recreating an image of two pyramids, Pyramid A and Pyramid B. She knows the pyramids are similar but is missing one of the dimensions. If the base of Pyramid A is 18 by 16.5 with a height of 21, what is the height of Pyramid B if the base is 22 by 24?
28
A spherical gumball machine, 5 inches in diameter, will hold 218 gumballs. A larger sherical gumball machine holds 5886 gumballs. What is the diameter of the larger gumball machine?
15 inches
Rectangular prism A is similar to rectangular prism B. The ratio of the surface of A to B is 4:1. IF the volume of rectangular prism B is 11 cm3, what is the volume of rectangular prism B?
88 cm3
If the volume of a pyramid is 95 cm3, what is the area of the base if the height is 10 cm?
28.5 cm2
A solid sphereical ball with a diameter of 4 iches is dropped into a cylindrical cup with a diameter of 6 inches and a height of 10 inches. Assuming the ball is nonporous and will remain at the bottom, what volume of whater can the cup now hold? (round to the nearest whole)
249 in3
Cube A is similar to Cube B. If the ratio of Cube A to Cube B is 16:49, waht is the ratio of their side lengths and the ratio of their volumes?
Side lengths = 4/7
Volume = 64/343
A cooler full of ice has a volume of 68128 cubic inches. When George tries to fit this into his truck it does not fit. If George gets a smaller cooler with dimensions that are half the size, what will be the volume of the new cooler? (round to the nearest whole number)
8516 in3