A bucket made up of metal sheet is in the form frustum of a cone of height 16 cm witj radii 8 and 20 cm fimd cost of metal sheet requitd to make container if its cost rs 8 per 100 cm square
Answers
Answer:
Step-by-step explanation:Secondary SchoolMath 13+7 pts
A bucket of height 16cm is made up of metal sheet in the form of frustum of a right circular cone with radii of its lower and upper ends as 8cm and 20cm respectively. Find the volume of milk which can be filled in the bucket. Also find the cost of making the bucket when the metal sheet costs Rs15 per 100cm2 .
Report by Daniel6528 17.11.2018
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TooFree
TooFree ★ Brainly Teacher ★
Answer:
Volume = 10459.43 cm³
Cost of the metal sheet = Rs 264
Step-by-step explanation:
Find the volume:
\text {Volume = }\dfrac{\pi}{3} h (R^2+ r^2+ R \times r )
\text {Volume = }\dfrac{\pi}{3} (16) (20^2 + 8^2 + 20 \times 8 )
\text {Volume = } 10459.43\text{ cm}^2
Find the surface area:
\text {Surface Area =} \pi(R + r)\sqrt{(R - r)^2 + h^2}
\text {Surface Area =} \pi(20 + 8)\sqrt{(20 - 8)^2 + 16^2}
\text {Surface Area =} 1760 \text { cm}^2
Find the cost:
100 cm² = Rs 15
1 cm² = 15 ÷ 100 = Rs 0.15
1760 cm² = 0.15 x 1760 = Rs 264
Answer: (a) Volume = 10459.43 cm³ (b) cost of the metal sheet = Rs 264
Answer:
Volume = 10459.43 cm³
Cost of the metal sheet = Rs 264
Step-by-step explanation:
Find the volume:
Find the surface area:
Find the cost:
100 cm² = Rs 15
1 cm² = 15 ÷ 100 = Rs 0.15
1760 cm² = 0.15 x 1760 = Rs 264
Answer: (a) Volume = 10459.43 cm³ (b) cost of the metal sheet = Rs 264