Question

curved surface area of a cylinder is 132 cm and volume is 99cm. find height ​

Answer 1

Step-by-step explanation:

C.S.A of cylinder = 132 m²

→ 2πrh = 132

→ 2 * 22/7 * r * h = 132

→ 44/7 * r * h = 132

→r * h = 3 * 7

→ r * h = 21 ....………(1)

Volume of cylinder = 99 m³

→ πr²h = 99

→ 22/7 * r * r * h = 99

★ From equation (1). [r* h = 21]

→ 22/7 * 21 * r = 99

→ 22 * 3 * r = 99

→ 66 * r = 99

→ r = 99/66

→ r = 3/2

→ r = 1.5 m

Now, Put value of r in equation (1).

Now, Put value of r in equation (1).→ 1.5 * h = 21

Now, Put value of r in equation (1).→ 1.5 * h = 21→ h = 21/1.5

Now, Put value of r in equation (1).→ 1.5 * h = 21→ h = 21/1.5→ h = 14 m

Answer 2

Answer:

here given,

CSA of cylinder = 132cm

volume of cylinder= 99cm

height of cylinder = ?

Now,

CSA of cylinder = 2πrh

or, 132 = 2*22/7*rh

or, 924/44 = rh

or, 21/h = r

or, r = 21/h

volume of cylinder = πr^2h

or, 99 = 22/7 * (21/h)^2 * h

or,  99 = 22/7 * 441/h^2 * h

or, 99 = 9702h/7

or, 683 = 9702h

or, h = 0.071

hence, height = 0.071cm

i hope it is helpful for you

Step-by-step explanation: