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Question 45
Three toys are in a shape of cylinder, hemisphere and cone. The three toys have same base. Height of each toy is $$2\surd2$$ cm. What is the ratio of the total surface areas of cylinder, hemisphere and cone respectively?
Solution
Total surface area of a cylinder=$$2\pi r(r+h)$$
Total surface area of a cone=$$\pi r(l+r)$$
Total surface area of a hemisphere=$$2\pir^{2}$$
they all have same base and so same radius.let r=1 cm
$$l^{2}$$=$$r^{2}+h^{2}$$
$$l^{2}$$=1+
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