Question

Find the volume of a sphere whose radius is
(i) 7 cm
(ii) 0.63 m

• A. (i) 1437.33 cm$^3$, (ii) 1.05 m$^3$
• B. (i) 1437.33 cm$^3$, (ii) 1.047816 m$^3$
• C. (i) 4312/3 cm$^3$, (ii) 1.05 m$^3$
• D. (i) 4312/3 cm$^3$, (ii) 1.047816 m$^3$

Answer 1

Answer: (A), (B), (C), (D)

(i) Radius of sphere = 7 cm
Volume of sphere =$\frac{4}{3}\pi r^3$
= $\frac{4}{3}$ × $\frac{22}{7}$ × 7 cm × 7 cm × 7 cm
$= \frac{4312}{3}$ cm$^3$
= 1437.33 cm$^3$
Therefore, the volume of the sphere is 1437 cm$^3$ .

---

(ii) Radius of sphere = 0.63 m
Volume of sphere =$\frac{4}{3}\pi r^3$
= $\frac{4}{3}$ × $\frac{22}{7}$ × 0.63 m × 0.63 m × 0.63 m
= 1.047816 m$^3$
= 1.05 m$^3$ (approx.)
Therefore, the volume of the sphere is 1.05 m$^3$ (approximately).

Answer 2

The volume of a sphere is calculated using the formula $V = \frac{4}{3}\pi r^3$. Using the approximation $\pi \approx \frac{22}{7}$:

For a radius of $r = 7$ cm: $V = \frac{4}{3} \times \frac{22}{7} \times (7 \text{ cm})^3 = \frac{4312}{3} \text{ cm}^3 \approx 1437.33 \text{ cm}^3$.

For a radius of $r = 0.63$ m: $V = \frac{4}{3} \times \frac{22}{7} \times (0.63 \text{ m})^3 = 1.047816 \text{ m}^3 \approx 1.05 \text{ m}^3$.