Question

Find the height of cylinder whose radius is 7cm and total surface area is 968cm².

Answer 1

Answer:

The height of the cylinder is 15 cm.

Step-by-step explanation:

The total surface area of a cylinder is:

$TSA=2\pi rh+2\pi r^{2}$

Given:

TSA = 968 cm²

r = 7 cm

Compute the height of the cylinder as follows:

$TSA=2\pi rh+2\pi r^{2}\\968=2\times\frac{22}{7} \times7\times h+2\times\frac{22}{7} \times7^{2}\\968-308=44h\\h=15$

Thus, the height of the cylinder is 15 cm.