The radius of a cylinder is 5 in and the lateral area is 70 sq. in. Find the length of the altitude.
2.8", 7", 14"

Solution:

Given the radius of cylinder as 5 in.

We know that the lateral surface area of the cylinder is given by

Lateral surface area = 2πrh

Where r is the radius of the cylinder and h is the height of the cylinder.

L.S.A = 2πrh

Substitute the values of π, r, and LSA.

70 = 2 × 3.14 × 5 × h [ Take π = 3.14]

h = 70 × 100/ 2 × 5 × 314

h = 2.229 in≈ 2.3 in

The radius of a cylinder is 5 in and the lateral area is 70 sq. in. Find the length of the altitude.
2.8", 7", 14"

Summary:

The length of the altitude radius of a cylinder is 5 in and the lateral area is 70 sq. in is 2.3 in.