Q1 of 32 Page 255

A toy is in the form of a cone mounted on a hemisphere. The diameter of the base and the height of the cone are 6 cm and 4 cm respectively. Determine the surface area of the toy.

(use π = 3.14)


Given that, diameter(d) is 6 cm and height(h) is 4 cm.


⇒ radius(r)


Also, slant height(l) = √ r2 + h2


⇒ l = √ 32 + 42


⇒ l = √ 9 + 16


⇒ l = √ 25


⇒ l = 5


And, surface area of the toy = surface area of the cone + surface area of hemisphere


⇒ Surface area of toy = πrl + 2πr2


= πr(l + 2r)




= 103.71 cm2


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