Question 132

The radius of the base ofa solid right circular cone is 8 cm andits height is 15 cm. The total surface area ofthe coneis:

Solution

Given that Radius  r = 8 cm

and height = 15 cm 

then lateral height(l) = $$\sqrt {(15)^2+(8)^2}$$

$$\Rightarrow \sqrt {225+64}$$

$$\Rightarrow 17 $$

so surface area of cone = $$pi r (l +r)$$

$$\Rightarrow \pi \times 8 (17+8)$$

$$\Rightarrow \pi 8 \times 25 $$

$$\Rightarrow 200 \pi $$ Ans 


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