Q7 of 48 Page 261

If the radius of a cone is 60 cm and its curved surface area is 23.55 m2, then find its slant height. (π = 3.14)

Given.


The radius of a cone is 60 cm


Curved surface area is 23.55 m2


Formula used/Theory.


CSA of cone = πrl


Radius is in cm but area is given in m2


Then convert radius into m


Radius = m = 0.6m


23.55 m2 = 3.14 × 0.6 × l


L × 1.884 m = 23.55 m2


L = = 12.5 m


∴ The slant height of cone is 12.5 m


More from this chapter

All 48 →
5

A solid is composed of a cylinder with hemispherical ends on both the sides. The radius and the height of the cylinder are 20 cm and 35 cm respectively. Find the total surface area of the solid.

 6

The radius of a conical tent is 4 m and slant height is 5 m. How many meters of canvas of width 125 cm will be used to prepare 12 tents? If the cost of canvas is Rs. 20 per meter, then what is total cost of 12 tents (π = 3.14)

 8

The cost of painting the surface of sphere is Rs. 1526 at the rate of Rs. 6 per m2. Find the radius of sphere.

 1

The curved surface area of a cone is 550 cm2. If its diameter is 14 cm, find its volume.