Question

the curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

Answer 1

Given,
$\: \: \: \: \: \: \: \: d = 16cm \\ = > r = 8cm \\ \\ \: \: \: \: \: \: \: \: h = 15cm$



As we know that,
$\: \: \: \: \: \: \: \: l = \sqrt{ {r}^{2} + {h }^{2} } \\ = > l = \sqrt{ {15}^{2} + {8}^{2} } \\ = > l = \sqrt{225 + 64} = \sqrt{789} \\ = > l = 17cm$



Now,
$C. S. A \: \: of \: \: cone = \pi \: rl \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{22}{7} \times 8 \times 17 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 427.43 {cm}^{2}.$






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Answer 2

$\mathbb{ELLO \ THERE!}$

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Question: the curved surface area of a right circular cone of height 15 cm and base diameter 16 cm is

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$\underline{\mathsf{ANSWER}}$

427.42cm²

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Given

h = 15cm

d = 16

r = $\frac{16}{2}$

r = 8

Solution

CSA of a cone = πr$\ell$

But we dont have the value for $\ell$

Now,

$\ell$ = $\sqrt\mathsf{r^{2} + h^{2}}$

$\ell$ = $\sqrt\mathsf{8^{2} + 15^{2}}$

$\ell$ = $\sqrt\mathsf{64 + 225}}$

$\ell$ = $\sqrt\mathsf{289}}$

$\ell$ = 17

CSA of a cone = πr$\ell$

                        = $\frac{22}{7}$ × 8 × 17

                        = $\frac{22}{7}$ × 136

                        = 427.42 cm²

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