The sum of the radius and the diameter of a solid sphere is 63 cm. What will be the volume of this sphere? [Use π = $\frac{22}{7}$]
Answer & explanation
Correct answer: option 1
We know that,
Volume of a sphere = \(\frac{4}{3}\)πR3
We have,
The sum of the radius and the diameter of a solid sphere = 63 cm.
Let the radius of the sphere = r.
Diameter of sphere = 2r
According to the question,
r + 2r = 63
= 3r = 63
= r = 21
The volume of the sphere = \(\frac{4}{3}\) × \(\frac{22}{7}\) × 213 = 38808 cm3