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A hemispherical bowl has 7 cm radius. It is to be painted inside as well as outside. The cost (in ₹) of painting it at the rate of ₹6 per 4cm2cm^{2}cm
Question

A hemispherical bowl has 7 cm radius. It is to be painted inside as well as outside. The cost (in ₹) of painting it at the rate of ₹6 per 4cm2cm^{2} is: (Use π=227\pi= \frac{22}{7}​)

A.

785

B.

980

C.

880

D.

924

Correct option is D

Given:

Radius of hemispherical bowl  = 7cm

Cost of painting per 4cm2cm^{2}= ₹6

Formula Used:

Curved surface area of hemisphere = 2πr2 2 \pi r^{2} 

where r = radius.

Solution:

Radius of hemisphere = 7cm

Curved surface area of hemisphere = 2π(7)22 \pi (7)^{2}​​

=2×227×49= 2\times \frac{22}{7}\times 49​​

=308 cm2=308 \ cm^{2}​​

Total surface rea inside and outside is = 2×308=616cm22 \times 308 = 616cm^{2}​​

Cost of painting = 6164×6=924 \frac{616}{4}\times6 = ₹924​​

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