Question

if 4 times the sum of the areas of two circular faces of a cylinder of height 8 centimetre is equal to the twice the curved surface area then find the diameter of cylinder

Answer 1

Answer:

Diameter of Cylinder is 8 cm.

Step-by-step explanation:

let r be the radius of cylinder and height of cylinder , h = 8 cm

Curved surface are of cylinder = $2\pi rh=16\pi r$

Area of Circular of cylinder = $\pi r^2$

According to the question,

$4\times(\pi r^2+\pi r^2)=2\times16\pi r$

$8\times\pi r^2=32\pi r$

$r=\frac{32}{8}$

$r=4$

Diameter of cylinder = 2 × r = 2 × 4 = 8 cm

Therefore, Diameter of Cylinder is 8 cm.

Answer 2

Answer:

Step-by-step explanation:

8 cm is the answer