Question
Download Solution PDFThe radius and height of a cylinder are in the ratio 6 : 7 and its volume is 792 cm3. Calculate its curved surface area in cm2.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The ratio of the radius to the height of the cylinder = 6 : 7
Volume of the cylinder = 792 cm³
Formula used:
Volume of a cylinder = πr²h
Curved surface area of a cylinder = 2πrh
Calculation:
Let the common ratio be x.
Then, the radius r = 6x and the height h = 7x.
Using the volume formula:
π(6x)²(7x) = 792
⇒ π × 36x² × 7x = 792
⇒ 252πx³ = 792
Take π as 22/7:
⇒ 252 × 22/7 × x³ = 792
⇒ 792x³ = 792
⇒ x³ = 1
⇒ x = 1
Thus, radius r = 6x = 6 × 1 = 6 cm
And height h = 7x = 7 × 1 = 7 cm
Now, calculate the curved surface area:
Curved surface area = 2πrh = 2 × 22/7 × 6 × 7
= 2 × 22 × 6
= 264 cm²
∴ The curved surface area of the cylinder is 264 cm².
Last updated on May 28, 2025
-> The SSC has released the SSC CHSL exam calendar for various exams including CHSL 2025 Recruitment. As per the calendar, SSC CHSL Application process will be active from 23rd June 2025 to 18th July 2025.
-> The Exam Date for the SSC CHSL 2025 will be from 8th September 2025 to 18th September, 2025.
-> The SSC CHSL is conducted to recruit candidates for various posts such as Postal Assistant, Lower Divisional Clerks, Court Clerk, Sorting Assistants, Data Entry Operators, etc. under the Central Government.
-> The SSC CHSL Selection Process consists of a Computer Based Exam (Tier I & Tier II).
-> To enhance your preparation for the exam, practice important questions from SSC CHSL Previous Year Papers. Also, attempt SSC CHSL Mock Test.