H/GT Volume and SA Practice

Front

What is the formula for the volume of a cone?

Back

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

Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length x width x height.

Front

What is the volume of a cone with a radius of 7 m and a height of 12 m (in terms of pi)?

Back

V = (1/3)π(7²)(12) = 196π m³.

Front

What is the approximate value of pi?

Back

π ≈ 3.14.

Front

If a box has dimensions 4 cm x 5 cm x 6 cm, what is its volume?

Back

Volume = 4 x 5 x 6 = 120 cubic centimeters.

Front

What is the formula for the surface area of a cylinder?

Back

SA = 2πr(h + r), where r is the radius and h is the height.

Front

How do you find the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

Back

V = π(3²)(10) = 90π cm³.

Front

What is the surface area of a cube with side length 5 cm?

Back

SA = 6s² = 6(5)² = 150 cm².

Front

If a cone has a volume of 150π m³ and a height of 10 m, what is the radius?

Back

r = √(150π * 3 / 10) = 7.75 m.