Question

The volume of curved surface area of a cylinder are 2310cm ^3 and 660cm^2 respectively. find the radius and height ​

Answer 1

question:

The volume of curved surface area of a cylinder are 2310cm ^3 and 660cm^2 respectively. find the radius and height

solution:

It is given volume of a cylinder =2310cm...(1)

It is given that curved surface area of cyliner =660cm...(2)

on solving (1)& (2)

$\frac{r}{2} = \frac{2310}{660}$

$\frac{r}{2} = 3.5$

$r = 7cm$

Substitute r=7 in (2), we get

2πrh=660

$= 2 \frac{22}{7} \times 7\times h = 660$

$2 \times 7 \times 22 \times h = 660 \times 7$

$44 \times h = 4,620$

$h = \frac{4,620}{44}$

$h = 15cm$

therefore,

radius of the cylinder= 7cm

height of the cylinder = 15cm

Answer 2

Explanation:

The base radius and height of cylinder are 7 cm and 15 cm respectively

Let

     r = radius of base of cylinder

     h = height of cylinder

Given,

     Volume of cylinder = 2310 cm

$\frac{\pi r^{2} h}{2\pi rh }  = \frac{2310}{660} \: \: \: = 2310....(1)$

CSA of cylinder  = 660 cm

$2\pi rh      = 660 cm -----(2)$

$</p><p>    \frac{\pi r^{2} h}{2\pi rh} = \frac{2310}{660}</p><p>$

r/2 = 3 

r = 3.5 x 2

  r = 7 cm

Substitute r in (2)

         2(3.14)(7)h = 660

              h = 330/21.98

              h = 15.01 cm