7.3 Volume of Solids

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius of the sphere.

Front

Calculate the volume of a pyramid with a base area of 16 yd² and a height of 4 yd.

Back

V = (1/3)Bh = (1/3)(16)(4) = 64 yd³.

Front

What are the units for volume?

Back

The units for volume are always cubed (e.g., cubic meters, cubic feet).

Front

What does the 'B' in the volume formula V = B x h stand for?

Back

B stands for the area of the base of the solid.

Front

Find the volume of a sphere with a radius of 5 ft.

Back

V = (4/3)π(5)³ ≈ 523.6 ft³.

Front

What is the formula for the volume of a cylinder?

Back

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

Front

Calculate the volume of a cone with a radius of 3 ft and a height of 9 ft.

Back

V = (1/3)πr²h = (1/3)π(3)²(9) = 27π ft³ ≈ 84.8 ft³.

Front

What is the volume of a cube with a side length of 4 cm?

Back

V = s³ = 4³ = 64 cm³.

Front

How do you find the volume of a rectangular prism?

Back

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

Front

What is the volume of a hemisphere with a radius of 6 m?

Back

V = (2/3)πr³ = (2/3)π(6)³ = 144π m³ ≈ 452.4 m³.