Question

A right circular cone having its height 15 cm and diameter of its base is 14 cm. its volume is​

Answer 1

$\sf{\huge{\underline{\orange{Given :-}}}}$

• A right circular cone having its height 15 cm.

• The diameter of its base is 14 cm.

$\sf{\huge{\underline{\green{To\:Find :-}}}}$

• The volume of a right circular cone.

$\sf{\huge{\underline{\pink{Solution :-}}}}$

We have,

A right circular cone having its height 15 cm.

• h = 15 cm

The diameter of its base is 14 cm.

• d = 14 cm

So, r = d/2 = 14/2 = 7cm.

We know, that the volume of a right circular cone is

➝ $\dfrac{1}{3} \pi \: r {}^{2} h$

➝ $\dfrac{1}{3} \pi \: {7}^{2} \times15$

➝ $\dfrac{1}{3} \times3.14 \times7 \times 7 \times 15$

➝ $\dfrac{1}{3} \times3.14 \times 49 \times 15$

➝ 49 × 5 × 3.14

➝ 245 × 3.14

➝ 769.3 cm³

Hence, The volume of a right circular cone is 769.3 cm³.

______________________________________

Answer 2

Step-by-step explanation:

The formula of curved surface area of a right circular cone =π×r×l

⇒l=√(H^2 +R^2)

l=√( 7^2 + 15^2)

l= 2√ 51cm

Now substitute the value in above equation. we have

Curved surface area =π×7×15

= 105 π cm^2