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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