Find the cost of polishing the curved surface of the right circular cylinder, whose diameter is 7cm and height is 12cm , at the rate of 50 paise per cm
Answers
Find the cost of polishing the curved surface of the right circular cylinder, whose diameter is 7cm and height is 12cm , at the rate of 50 paise per cm.
- Diameter of right circular cylinder = 7cm
- Height of right circular cylinder = 12cm
- Radius = Diameter ÷ 2 = 7/2 cm
- Cost of polishing = ?
- Curved surface area of cylinder = 2πrh
→ C.S.A = 2× 22/7 × 7/2 × 12
→ C.S.A = 44/7 × 3.5 × 12
→ C.S.A = 44/7 × 42
→ C.S.A = 264cm²
- The curved surface area = 264cm²
Cost of polishing = 0.5 per cm
→ C.S.A × Cost of polishing
→ 264 × 50 paise ( changing paise into rupees ).
→ 264 × 50/100 ₹
→ 264 × 1/2₹
→ 132 ₹
- Cost of polishing = 132 ₹
Step-by-step explanation:
Question:−
Find the cost of polishing the curved surface of the right circular cylinder, whose diameter is 7cm and height is 12cm , at the rate of 50 paise per cm.
\bf{\underline{Given:-}}
Given:−
Diameter of right circular cylinder = 7cm
Height of right circular cylinder = 12cm
Radius = Diameter ÷ 2 = 7/2 cm
\bf{\underline{To\:Find:-}}
ToFind:−
Cost of polishing = ?
\bf{\underline{Formula:-}}
Formula:−
Curved surface area of cylinder = 2πrh
\bf{\underline{Solution:-}}
Solution:−
→ C.S.A = 2× 22/7 × 7/2 × 12
→ C.S.A = 44/7 × 3.5 × 12
→ C.S.A = 44/7 × 42
→ C.S.A = 264cm²
\bf{\underline{Therefore:-}}
Therefore:−
The curved surface area = 264cm²
\bf{\underline{ Now:-}}
Now:−
Cost of polishing = 0.5 per cm
→ C.S.A × Cost of polishing
→ 264 × 50 paise ( changing paise into rupees ).
→ 264 × 50/100 ₹
→ 264 × 1/2₹
→ 132 ₹
\bf{\underline{Hence:-}}
Hence:−
Cost of polishing = 132 ₹