Volume of Cylinders, pyramids, prisms and cones

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 pyramid?

Back

Volume = (1/3)Bh, where B is the area of the base and h is the height.

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = lwh, where l is the length, w is the width, and h is the height.

Front

How do you find the volume of a sphere?

Back

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

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π cm³ ≈ 141.37 cm³.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Volume = (1/3)π(4)²(9) = 48π cm³ ≈ 150.8 cm³.

Front

What is the volume of a pyramid with a base area of 20 cm² and a height of 10 cm?

Back

Volume = (1/3)(20)(10) = 200 cm³.

Front

How do you calculate the volume of a sphere with a diameter of 10 cm?

Back

First, find the radius (r = 5 cm). Volume = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 cm³.

Front

What is the volume of a rectangular prism with dimensions 4 cm, 5 cm, and 6 cm?

Back

Volume = 4 x 5 x 6 = 120 cm³.