Question 69

The radius of a hemisphere is 14 cm. What is the cost of painting the outer curved surface of the hemisphere at the rate of ₹45 per cm$$^2$$ ?(Take $$\pi = \frac{22}{7}$$)

Solution

Area of the outer curved surface of the hemisphere = $$2\times\ \frac{22}{7}\times\ \left(raduis\right)^2$$

= $$2\times\ \frac{22}{7}\times\ \left(14\right)^2$$

= $$\frac{44}{7}\times196$$

= $$44\times28$$

= 1232 cm$$^2$$.

Rate of painting is ₹45 per cm$$^2$$.

cost of painting the outer curved surface of the hemisphere = $$45\times1232$$

= ₹ 55440

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