Question

A toy is in the form a cone radius 3.5cm mounted on a hemisphere of same radius the total height of the toy is 15.5cm find the total surface area of the toy​

Answer 1

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Answer 2

AE = AD - DE

= (15.5 - 3.5)cm

= 12cm

Now,

= $\sf{ {12}^{2} + {(3.5})^{2} = 144 + \frac{49}{4} = \frac{625}{4}}$

= $\sf{AC= \frac{25}{2} \: or \: l = 12.5cm}$

Total curved surface area

= Curved surface area of the cone + Curved surface area of hemisphere

= $\sf{πrl + 2π{r}^{2} = πr(l+2r) }$

= $\sf{ \frac{22}{7} \times \frac{7}{2} (12.5 + 7) {cm}^{2}}$

= ${\boxed{\sf{214.5 {cm}^{2}} }}$