Question

Volume of a cone is 1232 cm cube and its height is 24 cm. Find the surface area of the cone.
$(\pi = \frac{22}{7} )$
how to do cancellation division
${r}^{2} = \frac{1232 \times 3 \times 7}{22 \times 24}$


​

Answer 1

Volume = 1232 cm^3

1/3 π r^2 h = 1232

r^2 = 1232 x 7 x 3 / 24 x 22 ( h = 24 cm)

HENCE PROVED

PLEASE MARK AS BRAINLIST ANSWER..

Answer 2

Answer:

550 cm²

Step-by-step explanation:

Height of cone h = 24 cm.

Volume of cone = 1232 cm³.

∴ (1/3) πr²h = 1232

⇒ (1/3) * (22/7) * r² * h = 1232

⇒ r² = (1232 * 3 * 7)/(22 * 24)

⇒ r² = (1232 * 7)/(22 * 8)

⇒ r² = 8624/176

⇒ r² = 49

⇒ r = 7 cm.

∴ Slant height of the cone (l) = √h² + r²

⇒ √24² + 7²

⇒ √625

⇒ 25 cm

Now,

Curved surface area of the cone = πrl

= (22/7) * 7 * 25

= 550 cm²

Hope it helps!