Cones
The volume of a cone that has a radius of 5 inches and a height of 12 inches.
What is 314 inches cubed?
Find the volume of a cylinder whose radius is 4 feet and whose height is 3 feet. Round to the nearest tenth.
150.8 ft3
The volume of a sphere with a radius of 5 feet.
What is 523.3 feet?
Find the volume of a rectangular prism that has a length of 7, a width of 10, and a height of 4.
280 units squared
You get a snow cone at the fair. The paper cone you get has an opening of 2 inches in diameter and is 5 inches tall. It is really hot outside and your snow cone melts! What is the approximate volume of the melted sugar water in your paper cone?
What is 5.2 inches cubed?
The volume of a cylinder whose radius is 4.8 inches and has a height of 14.7 inches. Round to nearest tenth.
What is 1063.5 cubic inches?
Jerry's favorite fruit juice comes in a box shaped like a rectangular prism. The dimensions of the box are 5 centimeters by 4 centimeters by 10 centimeters. What is the volume of a box of fruit juice?
200 cm3
The volume of a cone whose height is 7.8mm and whose diameter is 6.4mm. Round to nearest tenth.
83.6 mm3
Emma Stone decides to start saving water by collecting rain in a barrel. Emma Stone buys a cylindrical barrel 4 feet across and 3.5 feet tall. What is the total volume of rain that Emma Stone can collect? Leave in terms of pi.
14pi
Selena Gomez is out for a hike when she stumbles upon an asteroid half-imbedded in the ground. The asteroid is perfectly spherical and is 37 feet in diameter. What is the total volume of Selena Gomez's asteroid?
What is 26508.4 cubic feet?
If a cube is 4 inches tall, what is its volume?
64 in3
You visit two ice cream shops, and both have delicious waffle cones. They both charge the same amount for the cones, but they are different sizes. Shop A's cones are 3 inches in diameter and 8 inches tall. Shop B's cones are 2.5 inches in diameter and 9 inches tall. Which shop gives you more ice cream?
What is shop A?
Find the volume of cylinder with radius of 5.5 feet and a height of 11.4 feet. Round to nearest tenth.
1083.4 ft3
The average diameter of a basketball is about 9 inches. Michael Jordan is finished with his free throws and he wants to start putting the equipment away. The basketball holder is a rectangular prism with dimension of 36 inches by 12 inches by 48 inches. What is the maximum number of basketballs that can fit in the holder?
54 basketballs
Given the volume of a rectangular prism is 360 m3, find the height if the width is 4 and the length is 11. Round to the nearest tenth.
length = 8.2
Solve the following equation:
6x - 4(2x - 12) - 10 = 16
x = 11
What is the height of a cone whose volume is 307.72 centimeters and has a radius of 7 centimeters?
6 centimeters
Bruce Wayne is filling up his pool that is shaped as a cylinder. The pool is above ground. It has a diameter of 20 ft. What is the height of the pool if the volume is 4860 ft3? Round to the nearest tenth.
15.5 ft
What is the radius of a sphere whose volume is 113.04 ft3?
3 feet
The dimensions of a rectangular prism are 12 in by 15 in by 20 in. A sphere has a radius of 4 inches. What is the maximum number of spheres that can fit in the rectangular prism?
Maximum number is 13.
Solve for x and y by substitution:
y = 4x − 9
y = x − 3
(2,-1)