Cylinders
A soup can has a radius of 4 cm and a height of 10 cm. Find its volume. Round answer to two decimal places.
V=π(42)(10)=160π≈502.65 cm³
An ice cream cone has a radius of 3 cm and a height of 8 cm. Find its volume.
Round answer to two decimal places.
V=(1/3)π(32)(8)=24π≈75.40 cm³
A basketball has a radius of 6 inches. Find its volume.
Round answer to two decimal places.
V=(4/3)π(63)=(864/3)π=288π≈904.78 in³
A cylinder and a cone have the same height and radius of 4 cm. If the cylinder’s volume is 256 cm³, what is the cone’s volume?
Round answer to two decimal places.
Vcone=(1/3)(256)=85.33 cm³
A company makes candle jars shaped like cylinders with a radius of 4 cm and a height of 10 cm. How much wax fits inside?
Round answer to two decimal places.
V=π(42)(10)=160π≈502.65 ft³
A water tank has a radius of 6 m and a height of 12 m. Find the volume. Round answer to two decimal places.
V=π(62)(12)=432π≈1,357.17 m³
A cone-shaped party hat has a radius of 5 cm and a height of 12 cm. Find the volume.
Round answer to two decimal places.
V=(1/3)π(52)(12)=100π≈314.16 cm³
A baseball has a radius of 3 cm. Find the volume.
Round answer to two decimal places.
V=(4/3)π(33)=36π≈113.10 cm³
A toy ball fits perfectly inside a cylinder. Both have a radius of 5 cm. The cylinder’s height is 10 cm. Which one has more volume?
Round answer to two decimal places.
Vsphere=(4/3)π(53)=523.6 cm³,
Vcylinder=π(52)(10)=785.4 cm³
So cylinder holds more.
A cone-shaped tent has a radius of 5 m and a height of 9 m. How much air does it hold?
Round answer to two decimal places.
V=(1/3)π(52)(9)=75π≈235.62 m³
A rolled-up poster is in a tube with a radius of 2 cm and a height of 15 cm. Find the volume.
Round answer to two decimal places.
V=π(22)(15)=60π≈188.50 cm³
A cone and a cylinder have the same radius and height. If the cylinder’s volume is 360 cm³, what is the cone’s volume?
Round answer to two decimal places.
Vcone=(1/3)Vcylinder= (1/3)(360)=120 cm³
A spherical balloon has a diameter of 10 cm. Find the volume.
Round answer to two decimal places.
V=(4/3)π(53)=(500/3)π≈523.60 cm³
A snow globe is a sphere with a radius of 8 cm sitting on a cylinder with a radius of 8 cm and a height of 5 cm. Find the total volume.
Round answer to two decimal places.
Vsphere=(4/3)π(83)=2,144.66 cm³,
Vcylinder=π(82)(5)=1,005.31 cm³,
So total volume = 3,149.97 cm³.
A beach ball has a radius of 7 inches. How much space does it take up?
Round answer to two decimal places.
V=(4/3)π(73)=1,436.76 in³
A cylinder has a diameter of 10 cm and a height of 20 cm. Find the volume.
Round answer to two decimal places.
V=π(52)(20)=500π≈1,570.80 cm³
A traffic cone has a diameter of 14 cm and a height of 24 cm. Find the volume.
Round answer to two decimal places.
V=(1/3)π(72)(24)=392π≈1,231.50 cm³
A sphere and a cylinder have the same radius and height. If the cylinder’s volume is 500 cm³, what is the sphere’s volume?
Round answer to two decimal places.
Vsphere=(2/3)Vcylinder=(2/3)(500)=333.33 cm³
A cylindrical jar with a radius of 6 cm and a height of 12 cm is half-filled with water. What is the volume of the water?
Round answer to two decimal places.
Vcylinder=π(62)(12)=π(432)=1,357.17 cm3
Vwater=(1/2)Vcylinder=
(1/2)(1,357.17)≈678.58 cm³
A sports drink bottle is shaped like a cylinder with a radius of 3 cm and a height of 15 cm. How much liquid fits inside?
Round answer to two decimal places.
V=π(32)(15)=135π≈424.12 cm³
A silo has a radius of 8 ft and a height of 15 ft. Find the volume in cubic feet.
Round answer to two decimal places.
V=π(82)(15)=960π≈3,015.93 ft³
A company makes cone-shaped containers with a radius of 7 in and a height of 18 in. How much can one container hold?
Round answer to two decimal places.
V=(1/3)π(72)(18)=294π≈923.63 in³
A planet has a radius of 500 km. Find its approximate volume.
Round answer to two decimal places.
V=(4/3)π(5003)=(3503/3)π≈523,598,775.60 km³
A shipping company needs to pack a cone, a cylinder, and a sphere in a box. Each shape has a radius of 6 cm and a height (if applicable) of 10 cm. Find the total volume of all three objects.
Round answer to two decimal places.
Vsphere= 904.78 cm3 Vcylinder=1130.97 cm3
Vcone = 376.99 cm³
Total volume = Vcone+Vcylinder+Vsphere=
2,412.74 cm³
A hot air balloon is shaped like a sphere with a diameter of 20 m. What is the volume of the air inside?
Round answer to two decimal places.
V=(4/3)π(103)=4,188.79 m³