Question

29. The volume and CSA of a cylinder are 1650 cm and 660 cm' respectively. Find its radius
and height​

Answer 1

║⊕ANSWER⊕║

The volume and CSA of a cylinder are 1650 cm³ and 660 cm² respectively. Find its radius  and height​.

                                                                                               

║⊕ANSWER⊕║

It is given that volume of a cylinder = 1650cm.

=> πr²h = 1650  ---- (1)

It is given that curved surface area of cylinder = 660cm.

=> 2πrh = 660cm.  ----- (2)

On solving (1) and (2) we get

r/2 = 1650/660

r = 1650/330

r = 5cm

Substitute r = 5 in (2), we get

2πrh = 660

2 * 22/7 * 5 * h = 660

2 * 22 * 5 * h = 660 * 7

220 * h = 4620

h = 4620/220

h = 21 cm

∴ The radius of the cylinder = 5 cm

   The height of the cylinder = 21 cm

                                                                                           

Answer 2

Answer:

Radius = 5 cm and Height = 21 cm

Step-by-step explanation:

We Have :-

CSA Of Cylinder = 660 cm²

Volume Of Cylinder = 1650 cm³

To Find :-

Height and Radius of Cylinder

Formula Used :-

CSA Of Cylinder = 2πrh

Volume Of Cylinder = πr²h

Solution :-

$660 = \frac{2*22*r*h}{7} \\\\\frac{660*7}{2 *22} =rh\\\\rh = 105$

$h= \frac{105}{r} --------------1\\\\1650 = \frac{22*r^{2}*105 }{7*r} \\\\\frac{1650*7}{22*105} = r\\\\r = 5 cm\\\\h = \frac{105}{5} \\\\h = 21 cm$

Radius = 5 cm and Height = 21 cm