Question

Calculate the curved surface area of a cone whose base diameter is 24cm and height is 11cm

Answer 1

Answer:

613.7 cm²

Step-by-step explanation:

Given :

Diameter of the base = 24 cm.

Height of the cone = 11 cm.

Formulae :

Assuming that the cone mentioned in the question is a Right Circular Cone,

Radius = [(1/2) × diameter] cm

Curved Surface Area of a cone = πrl cm²

Where l is the slant height of the cone. [l = $\sqrt{h^{2} + r^{2}}$ cm]

Procedure :

Again assuming that the cone mentioned in the question is a Right Circular Cone,

Radius of the base = (1/2) × 24 cm

∴ r = 12 cm

As h = 11 cm, [Consider h is the height of the cone]

l = $\sqrt{11^{2} + 12^{2}}$ cm

⇒ l = √265 cm

Hence CSA of the cone = π × 12 × √265

∴ CSA of the cone = 613.7 cm² [Approx. 614 cm²]

Considering h is the slant height here,

CSA of the cone = π × 12 × 11

∴ CSA of the cone = 414.7 cm² [Approx. 414.85 cm²]

Thanks !