Question

the volume and lateral surface area of the cylinder is 2310 CM and 660 cm respectively. find its base radius and height​

Answer 1

Volume Of Cylinder=2310 cm³

Lateral Surface Area=660 cm²

Volume of Cylinder=πr²h

$\frac{22}{7} \times {r}^{2} \times h = 2310 \\ \\ {r }^{2} \times h = 2310 \times \frac{7}{22} \\ \\ {r}^{2} \times h = 210 \times \frac{7}{2} \\ \\ {r}^{2} \times h = 105 \times 7 \\ \\ {r }^{2} h = 735 \\ \\ r \times r \times h = 735$

We got

r×r×h=735

CSA of Cylinder=2πrh

=660 cm

$2 \times \frac{22}{7} \times r \times h = 660 \\ \\ r \times h = 660 \times \frac{7}{22 \times 2} \\ \\ r \times h = 15 \times 7 \\ \\ r \times h =10 5$

We got r×h=105

We know r×r×h=735

Putting Value of r×h

r×105=735

r=735/105

r=7

We know

r=7

And

r×h=105

7×h=105

h=105/7

h=15

$\boxed{\mathbf{\huge{Radius=7\:cm}}}$

$\boxed{\mathbf{\huge{Height=15\:cm}}}$

Answer 2

Answer:

Answer:

Given:-

The volume and CSA of a cylinder is 2310 cm and 660 cm.

To find:-

Fine the the base radius and height ....?

Solutions:-

Volume of cylinder = 2310cm²

CSA of cylinder = 660cm²

CSA of cylinder = 2πrh

660 = 2 × 22/7 × rh

660 × 7 / 44 = rh

105 = rh

Volume of cylinder = πr²h

2310 = 22/7 × r × rh

2310 = 22/7 × r × 105

2310 × 7 / 22 × 105 = r

210 / 2 × 105 = r

14 / 2 = r

7 = r

r = 7cm

Now, putting the value of r in eq (i).

105 = rh

105 = 7 × h

105/7 = h

15 = h

h = 15cm

Hence, the base of radius is 7cm and height is 15cm.

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