Find the volume and total surface of a cylinder with the radius of 7cm ad height of 18cm

Answer 1

To find the volume of a cylinder, we use the formula:

V = πr^2h

where V represents the volume, r is the radius, and h is the height.

Plugging in the values given:

V = π(7cm)^2(18cm)
V = π(49cm^2)(18cm)
V = π(882cm^3)
V ≈ 2764.55 cm^3

So, the volume of the cylinder is approximately 2764.55 cm^3.

To find the total surface area of a cylinder, we use the formula:

A = 2πrh + 2πr^2

where A represents the total surface area.

Plugging in the values given:

A = 2π(7cm)(18cm) + 2π(7cm)^2
A = 2π(126cm^2) + 2π(49cm^2)
A = 2(π(126cm^2 + 49cm^2))
A = 2(π(175cm^2))
A = 2(175π cm^2)
A ≈ 1099.56 cm^2

So, the total surface area of the cylinder is approximately 1099.56 cm^2.