The volume of a right circular cone is 9856 cm 3 and the area of its base is 616 cm 2 . Find (i) the slant height of the cone. (ii) total surface area of the cone.

Given, area of base = 616 cm 2 . Area of base = πr 2 . ∴ πr 2 = 616 Volume of cone = (i) We know that, l 2 = r 2 + h 2 ⇒ l 2 = 14 2 + 48 2 ⇒ l 2 = 196 + 2304 ⇒ l 2 = 2500 ⇒ l = = 50 cm. Hence, the slant height of cone = 50 cm. (ii) Total surface area of cone = πr(l + r). Putting values in equation we get, Total surface area of cone = = 22 × 2 × 64 = 2816 cm 2 . Hence, the total surface area of cone = 2816 cm 2 .

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Mathematics

The volume of a right circular cone is 9856 cm³ and the area of its base is 616 cm². Find
(i) the slant height of the cone.
(ii) total surface area of the cone.

Mensuration

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Mathematics

The volume of a right circular cone is 9856 cm³ and the area of its base is 616 cm². Find
(i) the slant height of the cone.
(ii) total surface area of the cone.

Mensuration

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Mathematics

The volume of a right circular cone is 9856 cm3 and the area of its base is 616 cm2. Find(i) the slant height of the cone.(ii) total surface area of the cone.

Mensuration

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The volume of a right circular cone is 9856 cm³ and the area of its base is 616 cm². Find
(i) the slant height of the cone.
(ii) total surface area of the cone.