Question

The csa of cone is 550cm2 and it r 7cm find the volume and tsa

Answer 1

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Answer 2

Answer ⤵️

Here, the h isn't given so let it be x.

C.S.A of the cone= πrl

$550 = \frac{22}{7} \times 7 \times x \\ 550 = 22 \times x \\ x = \frac{550}{22} \\ x = 25$

So its height is 25 cm.

Volume of the cone= ⅓πr²h

$\frac{1}{3} \times \frac{22}{7} \times 49 \times 25 \\ = \frac{1}{3} \times 22 \times 7 \times 25 \\ = \frac{3850}{3} \\ = 1283.3 \: \: \: {cm}^{3}$

So its volume is 1283.3 cm³

T.S.A of the cone= πr(l+r)

$\frac{22}{7} \times 7(25 + 7) \\ = 22(25 + 7) \\ = 22 \times 32 \\ = 704 \: \: \: \: {cm}^{2}$

So its T.S.A is 704 cm²

Step-by-step explanation:

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