Volumes of Solids

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 volume of a cone?

Back

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

Front

How do you calculate the volume of a sphere?

Back

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

Front

What is the volume of a rectangular prism?

Back

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

Front

If the diameter of a sphere is 14 cm, what is its radius?

Back

Radius = diameter / 2 = 14 cm / 2 = 7 cm.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3 cm)²(5 cm) ≈ 141.4 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 cm)²(9 cm) ≈ 150.8 cm³.

Front

How do you find the volume of a solid with a complex shape?

Back

Break it down into simpler shapes, calculate their volumes, and sum them up.

Front

What is the volume of a sphere with a radius of 5 cm?

Back

Volume = (4/3)π(5 cm)³ ≈ 523.6 cm³.

Front

What is the relationship between diameter and radius?

Back

Diameter = 2 × Radius.