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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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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