Question

If the radius of a sphere is increased by 100% then its volume and surface area will be increased by

Answer 1

Radius is increased by 100%
which means its doubled.
So let radius = r
so new radius = 2r.

vol of sphere: 4/3πr³ 

after radius is doubled
vol of sphere: 4/3π (2r)³ = 4/3π 8r³

increase in vol = new volume / old volume 
= 4/3π r³ / 4/3π 8r³
= 1/8

Thus volume is increased 8 times when radius is increased by 100%.

Answer 2

Answer:

Step-by-step explanation:

Radius is increased by 100%

which means its doubled.

So let radius = r

so new radius = 2r.

vol of sphere: 4/3πr³ 

after radius is doubled

vol of sphere: 4/3π (2r)³ = 4/3π 8r³

increase in vol = new volume / old volume 

= 4/3π r³ / 4/3π 8r³

= 1/8

Thus volume is increased 8 times when radius is increased by 100%.