Surface Area and Volume

Front

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

Back

The surface area of a cone is given by the formula: SA = πr(r + l), where r is the radius and l is the slant height.

Front

What is the formula for the volume of a cone?

Back

The volume of a cone is given by the formula: V = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you calculate the volume of a triangular prism?

Back

The volume of a triangular prism is calculated using the formula: V = (1/2 * base * height of triangle) * length of prism.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: V = πr²h, where r is the radius and h is the height.

Front

What is the relationship between diameter and radius?

Back

The diameter is twice the radius: d = 2r.

Front

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

Back

The surface area of a cylinder is given by the formula: SA = 2πr(h + r), where r is the radius and h is the height.

Front

What is the volume of a cone with a radius of 5 feet and a height of 9 feet?

Back

V = (1/3)π(5²)(9) = 75π ft³.

Front

What is the surface area of a cone with a radius of 3 feet and a slant height of 4 feet?

Back

SA = π(3)(3 + 4) = 21π ft².

Front

How do you find the height of a cone if you know the volume and radius?

Back

Rearrange the volume formula: h = (3V)/(πr²).

Front

What is the volume of a cylinder with a radius of 7 cm and a height of 10 cm?

Back

V = π(7²)(10) = 490π cm³.