Question

find the volume of the right circular cone with radius 6 cm and height 7 cm, radius 3.5 CM and height 12cm.
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Answer 1

(i) Radius = 6 cm

Height = 7 cm

Volume = 1/3 πr²h

= 1/3 × 22/7 × 6 × 6 × 7

= 22 × 2 × 6

= 44 × 6

= 264 cm³

(ii) Radius = 3.5 cm

Height = 12 cm

Volume = 1/3πr²h

= 1/3 × 22/7 × 3.5 × 3.5 × 12

= 22 × 4 × 0.5 × 3.5

= 88 × 0.5 × 3.5

= 154 cm³

Answer 2

Given:

• Radius = 6cm
• height = 7cm

Need to find:

• Volume of the right circular cone

Answer:

• $264{cm}^{3}$

Step-by-step explanation:

$\small{ \blue{ \mathtt{Volume \: of \: the \: cone = \frac{1}{3} \pi {r}^{2} h}}}$

$\small{ \implies{ \frac{1}{3} \times \frac{22}{7} \times {(6)}^{2} \times 7}} \\ \small{ \implies{ \frac{1}{3} \times 22 \times 36}} \\ \small{ \implies{ \bold{264 {cm}^{3}}} }$

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Given:

• Radius = 3.5cm
• Height = 12cm

Need to find:

• Volume of the right circular cone

Answer:

• $\small{ 154 {cm}^{2} }$

$\small{ \blue{ \mathtt{Volume \: of \: the \: cone = \frac{1}{3} \pi {r}^{2} h}}}$

$\small{ \implies{ \frac{1}{3} \times \frac{22}{7} \times {(3.5)}^{2} \times 12}} \\ \small{ \implies{ \frac{1}{3} \times \frac{22}{7} \times \frac{35}{10} \times \frac{35}{10} \times 12}} \\ \small{ \implies{ \frac{22 \times 35 \times 3}{15} }} \\ \small{ \implies{ \bold{154 {cm}^{3}}}}$

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