Question

find the height of the cylinder whose volume is 462cm^3 and the diameter of the base is 7 cm


of chapter surface area and volume of solids class 8​

Answer 1

Answer: Hello,

Here is your answer...

We know that,

Volume of Cylinder = pi × (radius)*2 × h

Given,

Volume of cylinder = 462 cm ^2

Diameter = 7 cm

so,

Radius = 7/2 cm

Now,

Volume = 22/7 r ^2 × h

462 = 22/7 ×7/2 ×7/2 × h

462 = 11 × 7/2 × h

462 × 2 = 77 h

(462 × 2) / 77 = h

(42 × 2 ) / 7 = h

6 × 2 = h

So,

Height of the cylinder is 12 cm.

Step-by-step explanation: please mark me as the brainliest

Answer 2

Answer:

Height = 12 cm

Step-by-step explanation:

We have,

Radius (r) = diameter/2 = 7/2 = 3.5 cm

According To the Question,

The volume of a cylinder = πr^2h = 462cm^3

=> 22/7 × (3.5)^2 × h = 462

=> 22/7 × 12.25 × h  = 462

=> 38.5 × h = 462

=> h = 462/38.5

=> h = 12 cm