A man donates 10 aluminum buckets to an orphanage. A bucket made of aluminum is of height 20 cm and has its upper and lowest ends of radius 36 cm and 21 cm respectively. Find the cost of preparing 10 buckets if the cost of aluminum sheet is ` 42 per 100 cm2 . Write your comments on the act of the man.
Answers
Answer:
Rs. 24631.20
Step-by-step explanation:
Surface area of bucket = π(r1 + r2)l + πr12
l = √[h2 + (r2 - r1)2]
= √625 = 25 cm
∴ Surface area of 1 bucket = 22/7 × 1866 cm2
Surface area of 10 buckets = 22/7 × 18660 cm2
Cost of aluminium sheet = Rs. 24631.20
Answer:
Formula to find the surface area of the bucket:
\text {Surface Area = } \pi r^2 + \pi(R + r)\sqrt{(R - r)^2 + h^2}
Find the surface area:
\text {Surface Area = } \pi (21)^2 + \pi(36 + 21)\sqrt{(36 - 21)^2 + (20)^2}
\text {Surface Area = } 5864.57 \text{cm}^2
Find the cost of 1 bucket:
100 cm^2 = \text{Rs } 42
1cm^2 = \text{Rs } 0.42
5864.57 \text { cm}^2 = 5864.57 \times 0.42
15864.57 \text { cm}^2 = \text {Rs } 2463.12
Find the cost of 10 buckets:
1 bucket = Rs 2463.12
10 buckets = 2463.12 x 10 = Rs 24,631.20
Answer: It costs Rs 24,631.20