Question

The height of a cone is 24 cm and the diameter of its base is 14 cm. Find the volume and curved surface area of a cone. O​

Answer 1

Before, finding the answer. Let's find out we can find the answer.

• In this question, we are asked to find the Volume and Curved Area of a Cone.
• Before finding, we must first divide the base by 2.
• Next, to find the Volume, we must use the formula of :

$\boxed{ \tt Volume \: of \: a \: Cone = \frac{1}{3} \pi r^2h }$

• Next, to find the Curved Surface Area of Cone, we must use the formula of :

$\boxed{ \tt Curved \: surface \: area \: of \: Cone = \pi rl }$

• And here, we are taking

π = 3.14

__________________________

Given :

• Height = 24 cm
• Base = 14 cm

To find :

• volume and curved surface area

Solution :

Diameter = radius × 2

  Radius = Diamter/2

              = 14/2

              = 7 cm

${ \tt Volume \: of \: a \: Cone = \dfrac{1}{3} \pi r^2h }$

                           ${ \tt = \dfrac{1}{3} \times 3.14 \times 7^2 \times 24 }$

                           ${ \tt = \dfrac{1}{3} \times 3.14 \times 49 \times 24 }$

                           ${ \tt = \dfrac{1}{3} \times 3.14 \times 1176}$

                           ${ \tt = \dfrac{1}{3} \times 3692.64}$

                           ${ \tt = \dfrac{3692.64}{3} }$

                           ${ \tt = 1230.88}$

Therefore, the Volume of the Cone is 1230.88 cm³.

               

${ \tt Curved \: surface \: area \: of \: Cone = \pi rl }$

                                               ${ \tt = 3.14 \times 7 \times 24 }$          

                                               ${ \tt = 3.14 \times 168 }$

                                               ${\tt = 527.52 cm^2}$

Therefore, the Curved Surface Area of Cone is 527.52².