Question

A doll is made by surmounting a cone on a hemisphere of equal radius . The radius of the hemisphere is 7 cm and slant height of the cone is 11 cm. Find the surface area of the doll

Answer 1

Answer:

surface area of doll = CSA of cone +CSA of hemisphere

cone: r= 7cm

l=11cm

hemisphere: r=7cm

therefore surface area of doll =

$\pi \: rl + 2\pi \: {r}^{2}$

$\frac{22}{7} \times 7 \times 11 \: + 2 \times \frac{22}{7} \times 7 \times 7$

7 gets cancelled

$22 \times 11 + 2 \times 22 \times 7$

= 550 cm.square

Answer 2

The surface area of doll is 550 square cm.

Step-by-step explanation:

We are given the following in the question:

A doll is made by surmounting a cone on a hemisphere of equal radius.

Radius of cone,r = 7 cm

Slant height of cone,l = 11 cm

Radius of hemisphere,R = 7 cm

CSA of cone =

$=\pi\times \text{Slant Height}\times \text{Radius}\\= \pi\times l\times r\\\\=\dfrac{22}{7}\times 7\times 11\\\\= 242\text{ square cm}$

CSA of hemisphere =

$=2\pi R^2\\\\=2\times \dfrac{22}{7}\times 7\times 7\\\\=308\text{ square cm}$

Surface area of the doll = CSA of cone + CSA of hemisphere

$= 242 +308 \\=550\text{ square cm}$

Thus, the surface area of doll is 550 square cm.

#Learnmore

A toy is made by mounting a cone into a hemisphere . the radius of the cone and a hemisphere is 5 cm . the total height of the toy is 17 cm . find the total surface area of the toy

https://brainly.in/question/6695911