Question

2. A hollow spherical bowl has a radius 14 cm. Find its volume. and lateral surface area​

Answer 1

Answer :-

Given :-

• Radius of spherical bowl = 14 cm

To Find :-

• Volume
• Lateral surface area

Solution :-

Volume of sphere = 4/3 πr³

↬ Volume = 4/3 × 22/7 × 14³

↬ Volume = 4/3 × 22/7 × 14 × 14 × 14

↬ Volume = 4/3 × 8624

↬ Volume = 11498.66 ( approx )

Volume of spherical bowl = 11498.66 cm³

Lateral surface area = 4πr²

↬ LSA = 4 × 22/7 × 14 × 14

↬ LSA = 4 × 22 × 14 × 2

↬ LSA = 2464

Lateral surface area of spherical bowl = 2464 cm³

Answer 2

Given :-

$~~~~~~~$

• Radius of spherical bowl = 14 cm.

$~~~~~~~$

To find :-

$~~~~~~~$

• Volume
• Lateral surface area

$~~~~~~~$

Solution :-

$~~~~~~~$

$~~~~~~~~~$ $\large{\sf{Volume of sphere = \frac{4}{3} πr³}}$

$\rightarrow$ $\large{\sf{\frac{4}{3} \times \frac{22}{7} \times 14³}}$

$\rightarrow$ $\large{\sf{\frac{4}{3} \times \frac{22}{7} \times 14 \times 14 \times 14}}$

$\rightarrow$ $\large{\sf{\frac{4}{3} \times 8624}}$

$\rightarrow$ $\large{\sf{11498.66~(approx)}}$

$~~~~~~~$

★ Volume of spherical bowl = 11498.66 cm³

$~~~~~~~$

$\large\dag$ Lateral surface area = 4πr²

$\rightarrow$ LSA = $\large{\sf{4 \times \frac{22}{4} \times 14 \times 14}}$

$\rightarrow$ LSA = $\large{\sf{4 × 22 × 14 × 2}}$

$\rightarrow$ LSA = $\large{\sf{2464}}$

$~~~~~~~$

Hence,

$~~~~~~~$

• Lateral surface area of spherical bowl = 2464 cm³. $\large{\bf\green{✓}}$