Whats the Point?
Find the volume of the cone to the nearest tenth. R= 2.5in and h=7in
45.8 in^3
Find the volume of the cylinder. Leave your answer in terms of π. R= 8mm and h=24mm
1,536π mm^3
Find the volume of the sphere. Round to the
nearest tenth. D= 22
5,575.3 units^3
Set up using the correct formula:
A cylinder with a diameter of 8 and a height of 2
V=π(4^2)(2)
What shape matches the formula? Tell what the measurements represent.
4/3(π)(8^3)
A sphere with a radius of 8
A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Explain.
24 in.^3; the cone would have 1/3 the volume of the cylinder.
Find the volume of the cylinder to the nearest tenth. D=15, H= 11
1,943.9 in^3
Find the volume of the sphere in terms of π.
1. A sphere with a diameter of 18 units
2. A sphere with a radius of 15 units
1. 972π
2. 4,500π
Set up using the correct formula:
A cone with a radius of 8 and a height of 2
1/3(π)(8^2)(2)
The volume of a sphere is 36,000π units3. What is the radius of the sphere?
r= 30 units
Find the volume of the cone in terms of pi. The diameter is 36 and the height is 30.
3,240π units^3
A cylindrical can has a radius of 5.5 cm and a height of 8 cm. What is the capacity of the can to the nearest hundredth?
760.27 cm^3
Find the volume of the sphere in terms of π.
1. A sphere with a radius of 18 units
2. A sphere with a diameter of 24 units
1. 7,776π
2. 2,304π
A cone-shaped funnel can hold 314 cubic inches of water. If the height of the funnel is 12 inches, what is the radius of the funnel? Use 3.14 for pi.
5 in
What is the formula used to find the volume of a cylinder? Describe the steps to find the volume of a cylinder in your own words. (Hint: Fake Formula)
V = Bh; First, find the area of the base using πr2. Then, multiply the area of the base times the height of the cylinder.
Laura is trying to find the volume of a cone. So far, she has found the area of the base of the cone and multiplied it by the height of the cone. Describe what she needs to do next.
She needs to multiply her answer by 1/3 or divide by 3.
A cylindrical vase is filled with soil. If the height of the vase is 6 centimeters and the vase holds 471 cubic centimeters, what is the diameter of the vase? Use 3.14 for pi.
10 cm
Find the volume of a hemisphere with a radius of 7 inches. Round to the nearest tenth.
718.4 in^3
The radius of a basketball is 10 inches, and the radius of a soccer ball is 9 inches. How much greater is the volume of the basketball than the soccer ball? Round to the nearest tenth.
1,135.2 in^3
Derek has a cylindrical water bottle with a diameter of 4 centimeters and a height of 15 centimeters. If he filled the water bottle 3/4 full of water, how many cubic centimeters of the water bottle are filled with water? Round to the nearest tenth.
141.4 cm^3
A cone has a diameter of 18 units and a slant height of 15 units. Find the volume of the cone to the nearest hundredth.
1,017.88 units^3
A cylindrical cooler is filled with juice. The container has a radius of 7 inches and a height of 18 inches. If a cubic inch contains about 0.004 gallons of juice, how many gallons of juice does the container hold? Round to the nearest tenth.
11.1 gallons
A sphere-shaped snow globe has a radius of 3.5 inches. How much water can the snow globe hold? Round to the nearest tenth.
179.6 in^3
A cylindrical tank with a radius of 12 inches and a height of 20 inches is full of water. Does the tank have enough water to fill 250 sphere-shaped water balloons if each of the water balloons has a radius of 2 inches? Explain.
Yes; the cylinder holds 9,047.8 cubic inches and the 250 spheres would need 8,377.6 cubic inches of water.
At a wedding, guests are given cone-shaped cups filled with flower petals. The cups have a radius of 5 centimeters and a height of 10 centimeters. If there are 150 cups, what is the total volume of petals that all the cones will hold? Round to the nearest whole number.
39,270 cm^3