Surface Area of Cylinder, Sphere and Cone

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 surface area of a sphere?

Back

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

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

What does 'lateral surface area' refer to?

Back

Lateral surface area refers to the area of the sides of a 3D shape, excluding the bases.

Front

How do you calculate the slant height of a cone?

Back

Slant height (l) can be calculated using the Pythagorean theorem: l = √(r² + h²), where r is the radius and h is the height.

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

If a cylinder has a radius of 3 cm and a height of 5 cm, what is its lateral surface area?

Back

Lateral Surface Area = 2πrh = 2 * 3.14 * 3 * 5 = 94.2 cm².

Front

What is the surface area of a sphere with a radius of 7 cm?

Back

Surface Area = 4πr² = 4 * 3.14 * 7² = 615.44 cm².

Front

If a cone has a radius of 4 cm and a height of 3 cm, what is its surface area?

Back

Surface Area = πr(l + r) = 3.14 * 4 * (5 + 4) = 113.04 cm², where l = √(4² + 3²) = 5.