A storage tank consists of a circular cylinder with a hemisphere stuck on either end. If the external diameter of the cylinder be 1.4 m. and its length be 8 m. find the cost of painting it on the outside at rate of ₹20 per m².
Answers
Answer:
₹827.2
Step-by-step explanation:
Height of the cylinder = 8 m (Given)
Diameter of the cylinder = 1.4 m (Given)
Thus, the radius of the cylinder = 1.4/2 = 0.7 m
Surface area of tank = surface area of the cylinder + 2 × surface area of the hemisphere
Total area to be painted = 2 × 2πrh + 2πr²
= 2πrh + 2(2πr²)
= 2πr(h + 2r)
= 2 × 22/7 × 0.7 ( 8+2 × 0.7)
= 44/7 × 0.7 × 9.4
= 41.36
= 41.36 m²
Therefore the cost of painting it on the outside at rate of ₹20 per m² is -
= 41.36 × 20
= ₹827.2
Answer:
Step-by-step explanation:
Height of the cylinder = 8 m (Given)
Diameter of the cylinder = 1.4 m (Given)
Thus, the radius of the cylinder = 1.4/2 = 0.7 m
Surface area of tank = surface area of the cylinder + 2 × surface area of the hemisphere
Total area to be painted = 2 × 2πrh + 2πr²
= 2πrh + 2(2πr²)
= 2πr(h + 2r)
= 2 × 22/7 × 0.7 ( 8+2 × 0.7)
= 44/7 × 0.7 × 9.4
= 41.36
= 41.36 m²
Therefore the cost of painting it on the outside at rate of ₹20 per m² is -
= 41.36 × 20
= ₹827.2