Question

find the volume of a sphere was radius is 9 cm

Answer 1

$\textsf{\underline{Answer}}$

$\textsf{\underline{Step-by-step explanation}}$

Given that,

Radius of a sphere = 9cm

To find,

Volume of the sphere = ?

We know that,

Volume of a sphere = $\frac{4πr^3}{3}$

Volume of a sphere = $\frac{4}{3}$ $\times 3.14 \times 9 \times 9 \times 9$

Volume of a sphere = $\frac{4 \times 3.14 \times 729}{3}$

Volume of a sphere = $4 \times 3.14 \times 243$

Volume of a sphere = $972 \times 3.14$

Volume of a sphere = $3,052. 08 cm^3$

Answer 2

The volume of sphere with radius 9cm is 3053.63 cm³.

Given:

Radius (r) of the sphere = 9cm

To Find:

The volume (V) of the sphere

Solution:

A sphere is 3 dimensional geometrical analogue to a 2 dimensional shape called circle. It's surface area and volume is based on the radius of the circle; a cross-section of the sphere.

The volume of the sphere can be mathematically represented as:

⇒  $V = \frac{4}{3} \pi r^{3}$

• To calculate the volume of sphere mentioned in the question, we know;

       r = 9 cm

• Put the value of r in above formula to find the volume:

⇒  $V = \frac{4}{3} \pi r^{3}$

⇒  $V = \frac{4}{3}\pi (9)^{3}$

⇒  $V = \frac{4}{3} \pi (729)$

⇒  $V = 972\pi$     $(\pi = \frac{22}{7} )$

⇒  $V= 3053.62805 \ cm^{3}$  ≈ $3053.63 \ cm^{3}$

Hence, the volume of the sphere is 3053.63 cm³

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