a wooden A wooden toy was made by scooping out a hemisphere of same radius from each end of a solid cylinder. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm, find the
volume of wood in the toy.
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Answers
Answer:
Given height of cylinder =10 cm
Radius of cylinder =3.5 cm
The volume of toy= Volume of cylinder −2×Volume of a hemisphere
=πr
2
h−(2×
3
2
πr
3
)
=[π(3.5)
2
×10]−(2×
3
2
×π(3.5)
3
)=205.251 cm
3
Answer:
Answer: 616/3 cm³
explanation : volume of wood in the toy = volume of cylindrical wood - 2 × volume of hemispherical wood
[ actually, a toy was made by scooping out a hemisphere of same radius from each end of solid cylinder]
volume of cylinderical wood = πr²l
= 22/7 × (3.5cm)² × 10cm
= 22/7 × 7/2 × 7/2 × 10
= 11× 7 × 5
= 385 cm³
volume of hemispherical wood = 2/3πr³
= 2/3 × 22/7 × (3.5cm)³
= 2/3 × 22/7 × 7/2 × 7/2 × 7/2
= 11 × 7 × 7/6
= 539/6 cm³
so, volume of wood in the toy = 385cm³ - 2× 539/6 cm³
= (385 × 3 - 539)/3 cm³
= 616/3 cm³
hope it helps u!!