VOLUME OF CYLINDERS
A cylinder has a volume of 405 units3.
If a cone has the same radius and the same height as the cylinder, how many cubic units is the volume of the cone?
135 units3
A cone has a slant height of 30 units and a height of 24 units. Can you calculate the volume of the cone given this information? Why or why not.
No, you cannot determine the volume of a cone without the area of the base. In this problem. we need either the radius or diameter of the cone base to determine the volume.
Find the volume of a sphere with a radius of 4 units.
V = 267.9 units3
What is the formula to find the volume of a triangular prism?
v= 1/2 (BH)
A cylindrical tank has a diameter of 10 feet and a height of 7 feet.
If each cubic foot holds 7.48 gallons of water, how many gallons of water does the tank hold?
4,110.26 gallons
A cone has a radius of 18 units, and a height of 24 units. What is the volume of the cone?
8,138.88 units3
Find the volume of a sphere with a diameter of 15cm.
V = 1,766.3 cm3
How many bases are on a triangular prism?
2 bases
A cylindrical vase has a diameter of 12 inches and a height of 12 inches. What is the volume of the vase in terms of pi?
432pi
A cone shaped scoop is being used to fill a cylindrical bucket of water. The scoop and the bucket have the same height and radius.
How many scoops of water would it take to fill the bucket?
3
What's the volume of a hemisphere with radius of 3ft?
V = 56.5 ft3
V= 240 cm3
A cylindrical vase has a diameter of 12 inches and a height of 12 inches.
If the vase is filled 3/4 full with soil, how many cubic inches of soil are in the vase?
1,017.36 in3
A cone shaped scoop is being used to fill a cylindrical bucket of water. The scoop and the bucket have the same height and radius.
How many scoops of water would it take to fill the bucket 15 times?
45 Scoops
Find the volume of a quarter- sphere with diameter of 2 units.
V = 1.05 units3
What is the base of a triangular prism and how do you find the area of the base?
Triangle
and 1/2 area of the base multiplied by the height.
Paint is sold in a cylindrical container with a radius of 4 inches and a height of 10 inches.
If the paint costs $0.05 per cubic inch, how much does a full bucket of paint cost?
$25.12
A cone has a volume of 2,355 cubic inches and a height of 10 inches.
How many inches is the diameter of the cone?
30 units
Find the volume of a sphere with a radius of 2cm. Write your answer in terms of pi.
32pi/3 cm3
What is the volume of a triangular prism that has a triangle side lengths of 8 cm and 15 cm with a height of 21 cm?
1260 cm3