Question

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Answer 1

$\huge\purple{Required \: Answer :}$

For ( i ) , Volume = $264 \: {cm}^{3}$

For ( ii ) , Volume = $154 \: {cm}^{3}$

$\huge\red{Explanation :}$

Given :

(i) Radius = 6 cm

Height = 7 cm

To Find :

Volume of Cone = ?

Formula :

$Volume = \frac{1}{3} \pi {r}^{2} h$

Solution :

$Volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times \frac{22}{7} \times 6 \times 6 \times 7 \\ = \frac{1}{3} \times 22 \times 6 \times 6 \: \: \: \: \: \: \: \: \: \\ = 22 \times 2 \times 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 264 \: {cm}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Given :

(ii) Radius = 3.5 cm

Height = 12 cm

To Find :

Volume of Cone = ?

Formula :

$Volume = \frac{1}{3} \pi {r}^{2} h$

Solution :

$Volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times \frac{22}{7} \times 3.5 \times 3.5 \times 12 \\ = \frac{22}{7} \times 3.5 \times 3.5 \times 4 \: \: \: \: \: \: \: \: \: \: \: \\ = \frac{22}{2} \times 3.5 \times 4 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = 22 \times 3 .5 \times 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\ \: \: = 154 \: {cm}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\huge\sf\implies{Thanks : ❤}$