Question
Download Solution PDFThe cost of painting a spherical vessel of diameter 14 cm is Rs. 21,560. What is the cost of painting (in Rs.) per square centimetre? (Use π = 22/7)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The cost of painting a spherical vessel of diameter 14 cm is Rs. 21,560.
Concept:
To find the cost of painting per square centimetre, we need to determine the surface area of the sphere and then divide the total cost by this surface area.
Formula Used:
Surface area of a sphere = 4πr2
Cost per square centimetre = Total cost / Surface area
Calculation:
We have,
Diameter = 14 cm
⇒ Radius (r) = Diameter / 2 = 14 cm / 2 = 7 cm
Surface area of the sphere = 4πr2
⇒ Surface area = 4 × (22/7) × 72
⇒ Surface area = 4 × (22/7) × 49
⇒ Surface area = 4 × 22 × 7
⇒ Surface area = 616 cm2
Cost per square centimetre = Total cost / Surface area
⇒ Cost per square centimetre = 21560 / 616
⇒ Cost per square centimetre ≈ 35 Rs/cm2
∴ The cost of painting per square centimetre is Rs. 35
Last updated on Jun 17, 2025
-> The SSC has now postponed the SSC CPO Recruitment 2025 on 16th June 2025. As per the notice, the detailed notification will be released in due course.
-> The Application Dates will be rescheduled in the notification.
-> The selection process for SSC CPO includes a Tier 1, Physical Standard Test (PST)/ Physical Endurance Test (PET), Tier 2, and Medical Test.
-> The salary of the candidates who will get successful selection for the CPO post will be from ₹35,400 to ₹112,400.
-> Prepare well for the exam by solving SSC CPO Previous Year Papers. Also, attempt the SSC CPO Mock Tests.
-> Attempt SSC CPO Free English Mock Tests Here!