Question

The height of a cylinder whose radius is 7 cm and the total surface area is 484 sqcm is: *​

Answer 1

The height of a cylinder whose radius is 7 cm and the total surface area is 484 sqcm is: *

Answer 2

Step-by-step explanation:

Given that

Radius of cylinder(r) is 7 cm

Total surface area(a) is 484 sqcm

To find

Height of cylinder

Solution

Let h is the height of cylinder

$total \: surface \: area = 2 \: \pi \: r(r + h) \\ 484 = 2 \: \pi \: r(r + h) \\484 = 2\pi \times 7(7 + h) \\ 484 = 2\pi \times 49 + 7h \\ 484 = 307.87 + 7h \\ 176.13 = 7h \\ h = 25.16$

hence height of cylinder is 25.16cm.