Question

If the ratio of curved surface area of cylinder to the volume of cylinder is 2 : 21 while the ratio of diameter of cylinder to the height of cylinder is 7:3. Find the total surface area of cylinder

Answer 1

Its all about mensuration ,better u.may understand this

But not sure abt this

Answer 2

Answer:

The total surface area of a cylinder is 5,148 sq. units

Explanation:

Chapter:

• The question is about chapter mensuration and the topic is Cylinder
• Where we have to use all the concepts of cylinder i.e. Curved surface area, Total surface area, and volume of the cylinder.

Formula Used:

CSA of cylinder=  2πrh sq. units.

The volume of cylinder= π$r^{2}$h

Diameter = 2*Radius

TSA of cylinder= 2πr (h + r) Sq. units

Solution:

Given:

$\frac{CSA}{Volume} = \frac{2}{21}$  ......(1)

$\frac{Diameter}{Height} = \frac{7}{3}$........(2)

To find:

TSA of cylinder

Step:1

from eq (1)

$\frac{2(pie)rh}{(pie)r^{2}h} =\frac{2}{21}$

After cancellation

$\frac{2}{r} =\frac{2}{21}$

$2r=42$

r=21

Step:2

Diameter = 2r

= 2(21)

r = 42

Step:3

Using eq (2)

$\frac{42}{h} = \frac{7}{3}$

$126=7h$

h = 18

Step:4

We know,

r=21

h=18

TSA of cylinder= 2πr (h + r) Sq. units

= $2*\frac{22}{7} *21(21+18)$

$=2*\frac{22}{7} *21(39)$

$=2*22 *3*39$

$=44*117$

TSA of cylinder = 5,148 sq, units

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