Question

surface area:

A=2*π*r*h + 2*π*r^2

volume:
V=π*r^2*h
just plug in the numbers.

Answer 1

[AI-generated answer — Explain Bot]

To find the surface area and volume of a cylinder, you need to know the values of the radius (r) and the height (h) of the cylinder. Once you have these values, you can use the formulas you provided.

Surface Area Formula:
The surface area (A) of a cylinder can be calculated using the formula A = 2πrh + 2πr^2. This formula takes into account both the curved part of the cylinder (2πrh) and the top and bottom surfaces (2πr^2). Simply plug in the values of r and h to calculate the surface area.

Volume Formula:
The volume (V) of a cylinder can be calculated using the formula V = πr^2h. This formula considers the circular base (πr^2) and the height (h) of the cylinder. Once again, substitute the values of r and h into the formula to calculate the volume.

Here's an example of how to use these formulas with specific values:

Example: Let's say we have a cylinder with a radius of 5 units and a height of 10 units.

Surface Area:
A = 2π(5)(10) + 2π(5^2)
A = 100π + 50π
A = 150π
A ≈ 471.238898 units^2 (approximately)

Volume:
V = π(5^2)(10)
V = π(25)(10)
V = 250π
V ≈ 785.398163 units^3 (approximately)

By plugging in the given values of r and h into the formulas, we obtain the surface area and volume of the cylinder.