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A hemispherical bowl is made of steel whose thickness is 2 cm . The inside radius of the bowl is 3 cm . Find the volume (in cm3cm^3cm3​ ) of the steel
Question

A hemispherical bowl is made of steel whose thickness is 2 cm . The inside radius of the bowl is 3 cm . Find the volume (in cm3cm^3​ ) of the steel used in making the bowl. (Rounded off to 2 decimal places) (Take π=227\frac{22}{7}​ )

A.

245.14

B.

280.75

C.

211 .25

D.

205 .33

Correct option is D

Given:

Thickness of steel =2cm

Inside radius of bowl =3cm

Formula Used:

Volume of hemisphere =23π(r1)3(r2)3 \frac{2}{3}\pi (r_1)^3 - (r_2)^3​​

Wherer1,r2 r_1,r_2 ​are the outer and inner radius of hemisphere respectively

Solution:

Outer radius of hemispherical bowl = 3+2 = 5cm

Volume of steel used =23π(5)3(3)3 \frac{2}{3}\pi (5)^3 - (3)^3​​

=23×227×(12527) = \frac{2}{3}\times \frac{22}{7} \times (125 -27)​​

=205.33cm3=205.33cm^3​​

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