Question

A cylinder-shaped sculpture is 24 meters high with a diameter of 6.8 meters. An artist plans to paint the entire surface blue. If one can of paint covers 50 square meters, how many cans does the artist need to paint the sculpture

Answer 1

11.70cans ≈ 12cans

Explanation:

According to question,

• Given,A cylinder-shaped sculpture is 24 meters high with a diameter of 6.8 meters . thus Radius is 6.8/2 = 3.4 meters .
• And, An artist plans to paint the entire surface blue. & one can of paint covers 50 square meters.

Now,First we have to find the total surface area of cylinder

total surface area of cylinder=2×π×r² + 2×π×r×h

Put values,we get

⇒2×3.14×3.4² + 2×3.14×3.4×24

⇒585.0448 square meters

Now,one can of paint covers 50 square meters.

So,To paint 585.0448 m² Area We need 585.0448 / 50 = 11.70Cans

Total Cans needed is 11.70cans ≈ 12cans .