Question

a toy is in the form of a heri sphere is surmmounted on a cone whith radiesh 3.5 cm if the total height of toy is 14.5 find the total surface area of toy​

Answer 1

Step-by-step explanation:

Given: toy in form of a cone mounted on a hemisphere

radius of hemisphere =3.5 cm

Total height of toy =15.5 cm

To find: Total surface area TSA = ? Volume, V = ?

Solution :

h=12 cm

r=3.5 cm

Assuming that the cone is completed mounted on hemisphere

TSA of toy = CSA of cone + CSA of hemisphere

= πrl+2πr² [r→ radius of both cone and hemisphere as it is here]

= πr[l+2r]

= 22/7 × 35/10 [ √ (12)² + (3.5)²× 2×35/10 ]

= 11 [ √ 144+12.25 + 7 ]

= 11 [ √ 156.25 + 7 ]

= 11 (12.5+7)

= 11 × 19.5

= 214.5cm²

Volume of toy = 1/3 πr²h + 2/3 πr³

= 1/3 πr² [ h +2r ]

= 1/3 × 22/7 × 35/10 × 25/10 [ 12+ 2 × 35/10 ]

= 77/6 [ 12 + 7 ]

= 77 × 19 /6

= 1463/6

= 243.83 cm³

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