ABC26GN4943 · Volume and Surface Area

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

The curved surface of a right circular cone of height 84 cm and base diameter 70 cm is
(a)$1001 \mathrm{cm}^{2}$
(b)$9900 \mathrm{cm}^{2}$
(c)$10001 \mathrm{cm}^{2}$
(d)$10010 \mathrm{cm}^{2}$
Answer
Answer (as printed): D
Explanation
$h=84 \mathrm{cm}, r=35 \mathrm{cm}$. So, $l=\sqrt{r^{2}+h^{2}}=\sqrt{(35)^{2}+(84)^{2}}=\sqrt{8281} \mathrm{cm}=91 \mathrm{cm}$. ∴ Curved surface area $$=\pi r l=\left(\frac{22}{7} \times 35 \times 91\right) \mathrm{cm}^{2}=10010 \mathrm{cm}^{2} .$$

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