the radius of a sphere is 10 cm . if the radius is increased by 5% , find by how much percent the volume is increased ?
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Here,
Radius of the sphere = 10 cm,
So, it volume = 4/3πr³ = 4/3 × 22/7 × 1000
= 4190.47 cm³.
It is given that it is increased by 5%,
So, new radius = 10 + 5/100
= 10 + 1/20 = 201/20 = 10.05 cm,
Now, new volume = 4/3πR³ = 4/3 × 22/7 × (10.05)³ = 4253.64 cm³,
So, increase in volume = (4253.64 - 4190.47)cm³ = 63.17 cm³.
Also, percentage increase =
63.17 /4190.47× 100 = 1.5%.
Radius of the sphere = 10 cm,
So, it volume = 4/3πr³ = 4/3 × 22/7 × 1000
= 4190.47 cm³.
It is given that it is increased by 5%,
So, new radius = 10 + 5/100
= 10 + 1/20 = 201/20 = 10.05 cm,
Now, new volume = 4/3πR³ = 4/3 × 22/7 × (10.05)³ = 4253.64 cm³,
So, increase in volume = (4253.64 - 4190.47)cm³ = 63.17 cm³.
Also, percentage increase =
63.17 /4190.47× 100 = 1.5%.
aravindh15502p4auat:
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