Question

Four times the sum of the areas of the two circular faces of a cylinder is equal to the twice its curved
surface area. Find the diameter of the cylinder if its height is 8 cm.​

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.

Step-by-step explanation:

hope it helps you

Answer 2

Step-by-step explanation:

thanks for the question