Question

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

Answer 1

Answer:

Curved Surface area of the cone =πrl

• radius =3.5 cm
• height =15.5 cm

Slant length =√r²+h²

• √(3.5²) +(15.5²)
• √12.5+240.25
• √252.75

Remove the root the length is 15.89

Then put the values in πrl

• 3.14×3.5×15.89
• 10.99×15.89
• 174.6311

Therefore the Surface area of the toy is 174.6311 cm²

Hope it will helps you☺☺☺✌✌✌✌

Answer 2

Answer:

cone radius = 3.5 cm

hemisphere radius=3.5cm

Total height = 15.5 cm

height of cylinder = 15.5

l = 15.89

TSA of toy = CSA of cone+ CSA of hemisphere+surface area of toy

$= \pi \: r \: l + 4\pi \: {r}^{2} + \pi \: {r}^{2}$

$= \frac{22}{7} (3.5)(15.89) + 4 \frac{22}{7} {3.5}^{2} + \frac{22}{7} {3.5}^{2}$

Take pi and 3.5 value as common

= 22/7 x 3.5 { 15.89 + 4(3.5) +3.5

=11 { 15.89 + 14 + 3.5}

= 11 ( 33.39)

= 367.29

Therefore TSA of toy is 367.29