Curved surface area of a cone is 308 cm 2 and its slant height is 14 cm. Find : (i) radius of the base (ii) total surface area of the cone.

(i) Given, Curved surface area of a cone = 308 cm 2 and slant height = 14 cm. We know that, Curved surface area of cone = πrl. ∴ πrl = 308 ⇒ x r x 14 = 308 ⇒ 22 × r × 2 = 308 ⇒ 44r = 308 ⇒ r = = 7 cm. Hence, the radius of the base = 7 cm. (ii) Total surface area of cone = πr(l + r) Putting values in above equation we get, Total surface area = x 7 x (14 + 7) = 22 × 1 × 21 = 462 cm 2 . Hence, the total surface area of right circular cone = 462 cm 2 .

Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm.

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Diameter of the base of a cone is 10.5 cm and slant height is 10 cm. Find its curved surface area.

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(i) radius 6 cm and height 7 cm
(ii) radius 3.5 cm and height 12 cm.

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Find the capacity in litres of a conical vessel with
(i) radius 7 cm, slant height 25 cm
(ii) height 12 cm, slant height 13 cm.

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Mathematics

Curved surface area of a cone is 308 cm² and its slant height is 14 cm. Find :
(i) radius of the base
(ii) total surface area of the cone.

Mensuration

Related Questions

Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm.

Diameter of the base of a cone is 10.5 cm and slant height is 10 cm. Find its curved surface area.

Find the volume of the right circular cone with
(i) radius 6 cm and height 7 cm
(ii) radius 3.5 cm and height 12 cm.

Find the capacity in litres of a conical vessel with
(i) radius 7 cm, slant height 25 cm
(ii) height 12 cm, slant height 13 cm.

Mathematics

Curved surface area of a cone is 308 cm2 and its slant height is 14 cm. Find :(i) radius of the base(ii) total surface area of the cone.

Mensuration

Related Questions

Find the curved surface area of a right circular cone whose slant height is 10 cm and base radius is 7 cm.

Diameter of the base of a cone is 10.5 cm and slant height is 10 cm. Find its curved surface area.

Find the volume of the right circular cone with(i) radius 6 cm and height 7 cm(ii) radius 3.5 cm and height 12 cm.

Find the capacity in litres of a conical vessel with(i) radius 7 cm, slant height 25 cm(ii) height 12 cm, slant height 13 cm.

Curved surface area of a cone is 308 cm² and its slant height is 14 cm. Find :
(i) radius of the base
(ii) total surface area of the cone.

Find the volume of the right circular cone with
(i) radius 6 cm and height 7 cm
(ii) radius 3.5 cm and height 12 cm.

Find the capacity in litres of a conical vessel with
(i) radius 7 cm, slant height 25 cm
(ii) height 12 cm, slant height 13 cm.