Question

If the volume of cylinder is 30cm height is 4620cm^3 , find its radius ? please help​

Answer 1

Answer:

210 cm

Step-by-step explanation:

Given:

Volume of cylinder = 4620cm³

Height of cylinder = 30 cm

To find:

Radius (r)

Solution:

Volume of cylinder = πr²h

4620 = 22×r²×30/7

r² = 4620×7/22×30

r² = 44100

r = 210

OR

Volume of cylinder = πr²h

4620 = 3.14×r²×30

r² = 4620/3.14×30

r² = 44140

r² = 44100 (Approximately)

r = 210

Ans. Radius of the given cylinder is 210 cm.

Answer 2

Correct Question :-

The volume of a cylinder is 4620 cm³ , it's height is 30cm , find its height.

Given ,

• Volume of cylinder = 4620cm3
• Height of the cylinder = 30 cm

To Find :-

The radius of the given cylinder.

Formula :-

V = π r² h

where, V is the volume, r is the radius and h is the height of the cylinder.

On Inserting the values in the formula

We get ,

$4620\: = \: {\dfrac{22}{7}}\: r^2\: 30\: cm$

$r^2\: =\: {\dfrac{4620 \times 7}{22 \times 30}}$

$r^2\: =\: {\dfrac{32340}{660}}$

$r^2\: =\: 49$

$r\: =\: {\sqrt{49}}$

=> r = 7

Therefore, radius of the given cylinder is 7 cm

Verification :-

V = π r² h

$=>\: 4620\: = \: {\dfrac{22}{7}}\: 7^2\: 30\: cm$

$4620\: = \: {\dfrac{22 \times 49 \times 30}{7}}$

=> 4620 = 4620

Since LHS = RHS, Hence Verified.