Volume and Surface Area of Cones & Cylinders

Front

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

Back

Lateral Surface Area = 2πrh, where r is the radius and h is the height.

Front

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

Back

Total Surface Area = 2πr(h + r), 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 cylinder?

Back

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

Front

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

Back

Surface Area = πr(l + r), where r is the radius and l is the slant height.

Front

How do you calculate the slant height of a cone?

Back

Slant Height (l) = √(r² + h²), where r is the radius and h is the height.

Front

What is the relationship between the radius and height in a cone?

Back

The radius and height are used in the volume and surface area formulas, but they are independent measurements.

Front

What is the volume of a sphere?

Back

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

Front

What is the surface area of a sphere?

Back

Surface Area = 4πr², where r is the radius.

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of 4, since volume is proportional to the square of the radius.