Question

The ratio of height of a right circular solid cylinder and length of radius of base is 3:1. If the Volume Of the cylinder is 1029π cubic cm, what will be the total surface area of the cylinder?​

Answer 1

Answer:

Given :-

• The ratio of hight of a right circular solid cylinder and length of radius of base is 3 : 1 . If the Volume Of the cylinder is 1029 π cubic cm.

Find out :-

• The total surface area of the cylinder.

Solution :-

Let,

⋆ Hight = 3x

⋆ Radius of base = x

Volume =

★ πx² × 3x = 1029 π

➪ 3x³ = 1029

➪ x³ = 1029/3

➪ x³ = 343

➪ x = 7

⋆ Radius of base = 7 cm.

⋆ Hight = 21 cm.

Total surface area =

★ 2 × area of base + area of lateral surface

➭ 2 × πr² + 2πrh

➭ 2πr² + 2πrh

➭ 2πr(r + h)

➭ 2 × 22/7 × 7(7 + 21) sq cm.

➭ 44/7 × 7(28) sq cm.

➭ 44 × 28 sq cm.

➭ 1232 sq cm.

∴ The total surface area of the cylinder 1232 sq cm

Answer 2

Hope this answer helps you !!!!