2. Find the total surface area of a solid cone, if its slant height is 21 cm and diameter of base is 24 cm.
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2. Find the total surface area of a solid cone, if its slant height is 21 cm and diameter of base is 24 cm.
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Verified answer
Answer:
1244.57 m^2
Step-by-step explanation:
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We are given that the slant height of the cone is 21 m and diameter if its base is 24 m.
We need the radius of the base to find the total surface area.
Radius = half of the diameter = 24 ÷ 2 = 12
Total Surface area of Cone = πr² + πrl
Taking ‘πr’ common, we get
= πr × (l + r)
= 22 / 7 × 12 (21 + 12)
= 22 × 12 / 7 (33)
= 22 × 12 × 33 / 7
= 8712 / 7
= 1,244.57143 ...
Therefore, the total surface of a cone with slant height 21 m and diameter 24 m is 1244.57 square meters.
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