ABC26GN4995 · Volume and Surface Area

Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:

For a sphere of radius 10 cm, what percent of the numerical value of its volume would be the numerical value of the surface area?
(a)24\%
(b)26.5\%
(c)30\%
(d)45\%
Answer
Answer (as printed): C
Explanation
Volume of the sphere $=\left[\frac{4}{3} \pi(10)^{3}\right] \mathrm{cm}^{3}$. Surface area of the sphere $=\left[4 \pi(10)^{2}\right] \mathrm{cm}^{2}$. $$\text { ∴ Required percentage }=\left[\frac{4 \pi(10)^{2}}{\frac{4}{3} \pi(10)^{3}} \times 100\right] \%=30 \% \text {. }$$

Explanation as extracted from the printed page; notation may be imperfect.

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