A steel bowl is hemispherical in shape and 0.5 cm thick. The bowl's internal radius is 4 cm. How much steel was used to make the bowl?

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

55.833 cm 3

56.833 cm 3

56.533 cm 3

55.533 cm 3

answer is B.

(Unlock A.I Detailed Solution for FREE)

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that, the hemispherical steel bowl's internal radius,

r = 4 c m

and 0.5 cm is the thickness of steel.

∴ R − r = 0.5 cm

Thus, the external radius can be calculated as,

R − 4 = 0.5 ⇒ R = 4.5 cm

We know that the volume of the hollow hemisphere is

23 π R 3 − 23 π r 3,

where r is the internal radius and R is the external radius of the hemisphere.
Now, the volume of steel bowl can be calculated as,
Question Image

Therefore the volume of the steel is

56.833 cm 3 .

Hence, option (2) is correct.

Watch 3-min video & get full concept clarity

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test