Question

The curved surface and total surface area of a cone is 330 cm sq and 484 cm sq respectively, what is the base area of the cone?
(1 Point)

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The base area of the cone is 154 cm sq.

Step-by-step explanation:

Given the curved surface of a cone, C.S.A = 330 cm sq

And total surface area of a cone, T.S.A = 484 cm sq.

The curved surface area of a cone is given by $CSA=\pi rl$

And the total surface area of a cone is $TSA=\pi rl+\pi r^{2}$

where, the base of a cone is of circular shape, hence the base area of the cone is $BA=\pi r^{2}$.

Therefore, the base area of the cone is given by

$TSA-\pi rl=\pi r^{2}$

$\implies$ B.A = T.S.A - C.S A

Substituting the values, the base area is

$B.A = 484 - 330=154 cm ~sq.$

Thus, the base area of the cone is 154 cm sq.