Question
Download Solution PDFA solid right-circular cylinder whose radius of the base is 22.5 cm and whose height is 24 cm is melted and moulded in the shape of a right circular cone whose radius of the base is 36 cm. What will be the height of this cone?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Cylinder radius = 22.5 cm
Cylinder height = 24 cm
Cone radius = 36 cm
Concept:
Volume of Cylinder = πr2h and Volume of Cone = (1/3)πr2h.
The volume of the cylinder and the cone are equal because the cylinder is melted and moulded into the cone.
Solution:
The cylinder's volume is π (22.5 cm)224 cm.
For the cone, it's 1/3 × π × (36 cm)2 × h. Setting these equal, we solve for h:
h = 3 × (22.5 cm)2× 24 cm/(36 cm)2
⇒ 28.125 cm.
Hence, the height of the cone will be 28.125cm
Last updated on Jul 8, 2025
-> The Staff Selection Commission released the SSC GD 2025 Answer Key on 26th June 2025 on the official website.
-> The SSC GD Notification 2026 will be released in October 2025 and the exam will be scheduled in the month of January and February 2026.
-> Now the total number of vacancy is 53,690. Previously, SSC GD 2025 Notification was released for 39481 Vacancies.
-> The selection process includes CBT, PET/PST, Medical Examination, and Document Verification.
-> The candidates who will be appearing for the 2026 cycle in the exam must attempt the SSC GD Constable Previous Year Papers. Also, attempt SSC GD Constable Mock Tests.