The coat of painting a spherical vessel of diameter 14cm is Rs.21,560. What is the cost of painting (in Rs.) per squre cm ? use pi = 22/7
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 35
The radius of the spherical vessel is half the diameter, so:
radius = diameter / 2 = 14 cm / 2 = 7 cm
The surface area of a sphere is given by the formula:
⇒ 4 × π × r
where r is the radius of the sphere.
Substituting the values, we get:
⇒ surface area = 4 × (22/7) × 7 = 616 cm
The cost per square centimeter is given by the total cost divided by the surface area, so:
⇒ cost per square centimeter = total cost / surface area = Rs. 21,560 / 616 cm^2 = Rs. 35/cm
Therefore, the cost of painting per square centimeter is Rs. 35.