The radius of the base of the cylinder is 1, the height is 10. Find the area of the lateral surface of the cylinder and the volume.

1) Let’s introduce the notation:

the radius of the cylinder base – R = 1;

cylinder height – H = 10;

the area of the lateral surface of the cylinder – S;

cylinder volume – V.

2) The area of the lateral surface of the cylinder is calculated by the formula:

S = 2 * n * R * H,

where n is a mathematical constant (the number “pi”) equal to 3.1415926535 …. In the calculations, we will round the value of the number “pi” to hundredths: n = 3.14.

Then

S = 2 * 3.14 * 1 * 10 = 62.8.

3) The volume of the cylinder is calculated using the following formula:

V = n * R ^ 2 * H,

V = 3.14 * 1 ^ 2 * 10 = 31.4.

Answer: 62.8; 31.4.