Question
A cylinder is inscribed in a sphere. The radius of the sphere is 5/6 times the height of the cylinder. What is the ratio of the volume of the cylinder to the volume of the sphere?
The radius of the sphere is 5/6 times the height of the cylinder. The radius of the sphere = 5 The height of the cylinder = 6 Now, According to the figure (Radius of cylinder) ² = (5) ² - (3)2 (Radius of cylinder) ² = (25-9) (Radius of cylinder) ² = 16 Radius of cylinder = 4 Now, Volume of cylinder/Volume of sphere = πr²h/4/3 πι³ 3 = [π × (4)2 × 6]/ [4/3 × π × (5)3] = (16 x 6)/ (4/3 x 125) = 96/500/3 =96×3:500 =72:125More Previous year papers Questions
- Which of the given frequency polygons represents the following frequency distribution?
- Working alone, A can do a job in 15 days and B can do the same job in 18 days. In how many days will the job be completed if both work together?
- What is the LCM of 6,7,8 and 9?
- If A is 25% more than B and B is 15% less than C, then A:B:C = ?
- What is the value of 28 × 25 ÷ 7 × 15 + 63 × 56 ÷ 72 × 5 + 24 × 7 + 8?
- By selling an article for ₹20, a dealer makes a profit of 10%. By how much should he increase his selling price (in ₹, rounded off to two decimal place) so...
- A sum of 7 ₹,752 is to be divided between Daksha and Dakshi, who are respectively 18 and 19 years old, in such a way that if their shares will be invested ...
- Simplify (957 + 932)2 - 4 × 957 × 932
- Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:
- The ratio of Divya's salary to Monika's salary was 2 : 5. Divya's salary is increased by 50% and Monika's by 20%. What is the ratio of their salaries now?
Relevant for Exams:
Hey! Ask a query
Please enter email id
The email must be a valid email address.
Please enter Mobile Number
Please enter valid Mobile Number
Please enter your Doubt
Think You're Ready for RBI Grade B?
RBI Grade B 2026 Phase 1 Memory Based Paper
- 200 Questions with Detailed Solutions
- Section-wise Coverage (GA, English, Quant & Reasoning)