Volume of Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Front

If a cone has a radius of 3 cm and a height of 4 cm, what is its volume?

Back

Volume = (1/3)π(3)²(4) = 12π cm³ ≈ 37.68 cm³.

Front

What is the relationship between the diameter and radius of a sphere?

Back

Radius = Diameter / 2.

Front

How do you convert diameter to radius for volume calculations?

Back

Divide the diameter by 2 to get the radius.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

Volume = π(5)²(10) = 250π cm³ ≈ 785.4 cm³.

Front

What is the volume of a sphere with a radius of 10 cm?

Back

Volume = (4/3)π(10)³ = (4/3)π(1000) ≈ 4188.79 cm³.

Front

If a cylinder has a volume of 1130 cm³ and a height of 10 cm, what is its radius?

Back

Using Volume = πr²h, r = √(Volume / (πh)) = √(1130 / (π * 10)) ≈ 6.0 cm.

Front

What is the volume of a cone with a base radius of 2 inches and a height of 6 inches?

Back

Volume = (1/3)π(2)²(6) = (1/3)π(24) = 8π in³ ≈ 25.13 in³.