8. GSR.8.4 Volume of Cylinders, Cones, Spheres & Hemispheres

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

What is the formula for the volume of a hemisphere?

Back

Volume = (2/3)πr³, where r is the radius.

Front

How do you find the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3)²(5) = 45π ≈ 141.4 cm³.

Front

If a cone has a radius of 4 m and a height of 9 m, what is its volume?

Back

Volume = (1/3)π(4)²(9) = 48π ≈ 150.8 m³.

Front

What is the volume of a sphere with a radius of 7 cm?

Back

Volume = (4/3)π(7)³ ≈ 1436.8 cm³.

Front

How do you calculate the volume of a hemisphere with a radius of 6 m?

Back

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

Front

What is the height of a cone if the volume is 150 m³ and the radius is 5 m?

Back

Height = (3 * Volume) / (π * r²) = (3 * 150) / (π * 5²) ≈ 7.2 m.

Front

Find the volume of a cylinder with a diameter of 10 cm and a height of 15 cm.

Back

Volume = π(5)²(15) = 375π ≈ 1178.1 cm³.