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Mathematics
20. Surface Area and Volume of a Right Circular Cone
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Q10 of 63 Page 21

The radius and slant height of a cone are in the ratio of 4 : 7. If its curved surface area is 792 cm2, find its radius. (Use π=22/7)

We have,


Let radius of cone = r =4x,


Let slant height = l =7x


Area of curved surface = πrl = 792 cm2


Now, πrl = 792


=


∴r =4×3= 12 cm


l = 7×3 = 21 cm


More from this chapter

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8

The area of the curved surface of a cone is 60π cm2. If the slant height of the cone be 8 cm, find the radius of the base.

9

The curved surface area of a cone is 4070 cm2 and its diameter is 70 cm. What is its slant height? (Use π=22/7).

11

A Joker’s cap is in the form of a right circular cone of base radius 7 cm and height 24 cm. Find the area of the sheet required to make 10 such caps.

12

Find the ratio of the curved surface areas of two cones if their diameters of the bases are equal and slant heights are in the ratio 4 : 3.

Questions · 63
20. Surface Area and Volume of a Right Circular Cone
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