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If the volume of a sphere is 4851cm34851 cm^34851cm3​, then find the radius of the sphere. [Use π=227\pi = \frac{22}{7}π=722​​]
Question

If the volume of a sphere is 4851cm34851 cm^3​, then find the radius of the sphere. [Use π=227\pi = \frac{22}{7}​]

A.

12.5 cm

B.

10.5 cm

C.

11.5 cm

D.

13.5 cm

Correct option is B

Given:

Volume of the sphere V = 4851 cm3

Formula Used:
The formula for the volume of a sphere is:

V = 43πr3\frac{4}{3} \pi r^3​​

Where:

V is the volume of the sphere.

r is the radius of the sphere.

Solution:

Using the formula;

V=43πr3V = \frac{4}{3} \pi r^3​​

4851=43×227r34851 = \frac{4}{3}\times \frac{22}{7} r^3 

r3=4851×3×74×22​r^3 = \frac{4851 \times 3 \times 7}{4 \times 22}​​

r=441×214×2r = \frac{441 \times 21}{4 \times 2}​​

r = 10.5 cm

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