Question

If radius and height of a right circular cone is 7cm and 24 cm respectively then curved surface area of cone is *

168 π 〖cm〗^2

175π 〖cm〗^2

200 π 〖cm〗^2



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Answer 1

THE RADIUS AND HEIGHT OF A RIGHT CIRCULAR SOLID CONE ARE 7 CM AND 24 CM RESPECTIVELY

Given:

To find:

curved surface area and

total surface area of the cone.

Explanation:

Dimensions of a cone:

Radius (r) = 7 cm

Height (h) = 24 cm

Let the slant height = l cm

i)

\boxed {l^{2} = r^{2}+h^{2}}

=> l² = 7²+(24)²

= 49+576

= 625

l = √625

=> l = √25²

=> l = 25 cm

\boxed {l^{2} = r^{2}+h^{2}}

=> l² = 7²+(24)²

= 49+576

= 625

l = √625

=> l = √25²

=> l = 25 cm

\boxed { Curved \: surface \: area \: = πrl}

= (22/7) × 7 × 25

= 22×25

= 550 cm²

iii)

\boxed { Total\:surface : area \: = πr\left(l+r\right)}

=(22/7)×7×(25+7)

= 22×32

= 704 cm²

Therefore,

CSA of a cone = 550 cm²

TSA of a cone = 704 cm²

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