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The cost of painting a spherical vessel of radius 7 cm is Rs. 18,480. What is the cost of painting per square centimetre? (Use π = 227\frac {22}7
Question

The cost of painting a spherical vessel of radius 7 cm is Rs. 18,480. What is the cost of painting per square centimetre? (Use π = 227\frac {22}7​ )

A.

Rs. 33

B.

Rs. 32

C.

Rs. 30

D.

Rs. 31

Correct option is C

Given:
Radius of the spherical vessel = 7 cm
Total cost of painting = Rs. 18,480
Value of π = 227\frac {22}7​​
Formula Used:
Surface area (A) of a sphere = 4πr²
where,
'r' is the radius of the sphere.
Cost of painting per square centimetre=Total cost of paintingSurface area of the sphere\text{Cost of painting per square centimetre} = \frac{\text{Total cost of painting}}{\text{Surface area of the sphere}}​​
Solution:
A=4×(227)×72A=4×(227)×49A=4×22×7=616 cm2Cost per square cm=18,480616=Rs.30A = 4 \times \left( \frac{22}{7} \right) \times 7^2 \\A = 4 \times \left( \frac{22}{7} \right) \times 49 \\A = 4 \times 22 \times 7 = 616 \, \text{cm}^2 \\\text{Cost per square cm} = \frac{18,480}{616} = Rs. 30​​
Thus, the cost of painting per square centimetre is Rs. 30.

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