Q. 85.0( 3 Votes )

# The cost of painting the surface of sphere is Rs. 1526 at the rate of Rs. 6 per m^{2}. Find the radius of sphere.

Answer :

Given.

Cost of painting the surface of sphere is Rs. 1526

Rate of Rs. 6 per m^{2}

Formula used/Theory.

TSA of sphere = 4πr^{2}

Let radius of sphere is r

Then area of sphere is 4πr^{2} m^{2}

Rate of painting = Rs. 6 per m^{2}

Cost of painting of sphere =

4πr^{2} m^{2} × Rs. 6 per m^{2}

Rs. 24πr^{2}

Rs. 24πr^{2} = Rs. 1526

24 × × r^{2} = 1526

r^{2} = = 20.23

r = √20.23 = 4.49 m

= 4.5 m

Rate this question :

The cost of painting the surface of sphere is Rs. 1526 at the rate of Rs. 6 per m^{2}. Find the radius of sphere.

If the radius of a cone is 60 cm and its curved surface area is 23.55 m^{2}, then find its slant height. (π = 3.14)

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.

Gujarat Board MathematicsThe diameter and the height of the cylinder are 14 cm and 10 cm respectively. Then the total surface area is ……….. cm^{2}.