Cylinders
What formula would you use to calculate the volume of a cylinder?
"V equals pi times the radius squared times height."
What formula would you use to calculate the volume of a cone?
What formula would you use to calculate the volume of a sphere?
"V equals 4/3 pi r cubed"
A cone has a volume of 12pi cubic ft and a radius of 3 ft. What is the height?
4 ft
How would you determine the radius of a sphere given its diameter?
The radius is half of the diameter, so divide the diameter by 2.
A cylinder has a base radius of 2 meters and a height of 4 meters. What is its volume in cubic meters, to the nearest tenths place?
V=50.3 cubic meters
Find the volume of a right circular cone that has a height of 3.9 ft and a base with a radius of 14.7 ft. Round your answer to the nearest tenth of a cubic foot.
V≈ 882.5 cubic feet
What is the volume of a sphere with a radius of 2.6 ft, rounded to the nearest tenth of a cubic foot?
V≈73.6 cubic ft
A party hat in the shape of a cone has a volume of 100pi cubic in and a radius of 5 in. How tall is the hat?
h = 12 in
The volume of a cylinder is 100pi cubic feet. If the height of the cylinder is ft, what is the radius of the cylinder?
5 ft
A soda can is redesigned to be a perfect cylinder with a radius of 3 cm and a height of 10 cm.
V= 90 pi cubic inches
An ice cream cone has a diameter of 6 cm and a height of 8 cm.
V=24 pi cubic cm
A globe has a radius of 6 inches.
288pi cubic inches
A cylinder has a volume of 54pi cubic meters. If the radius is 3m, find the height.
h = 6
A cone-shaped pile of sand has a volume of 300pi cubic meters and a height of 4 meters. What is the radius of the base?
r = 15
What is the volume of a cylinder, in cubic centimeters, with a height of 5 centimeters and a base diameter of 18 centimeters? Round to the nearest tenths place.
V=1,272.3 cubic centimeters
Find the volume of a right circular cone that has a height of 18.8 in and a base with a diameter of 14.3 in. Round your answer to the nearest tenth of a cubic inch.
V≈
1006.5
A decorative glass marble has a radius of 9 mm. Find its volume. Leave your answer in terms of pi.
972pi cubic millimeters
A cylinder has a volume of 250pi cubic inches and a radius of 5 in. What is the height?
h = 10 in
A cone has a volume of 48pi cubic cm and a height of 9 cm. What is the radius?
r = 4 cm
What is the volume of a cylinder, in cubic meters, with a height of 2 meters and a base diameter of 8 meters? Round to the nearest tenths place.
V=100.5 cubic meters
Find the volume of a right circular cone that has a height of 14.9 cm and a base with a circumference of 2.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
V≈
3.3 cm
A cereal bowl is shaped like a hemisphere (half of a sphere) with a radius of 6 cm. What is the volume of the bowl? Leave your answer in terms of pi.
v = 144pi cubic cm
A cone and a cylinder have the same volume of 36pi. Both have a radius of 3. What is the height of the cone? What is the height of the cylinder?
Cone h= 12
Cylnder h=4
A cylinder has a volume of 128pi cubic cm. If the height is 8 cm, what is the diameter? (Find r first!)
d=8 cm
r=4 cm