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
- A man sold his bicycle for ₹810 losing two-fifth of its cost price. What is the loss percentage?
- The mean proportional between 2.8 and 0.7 is:
- A sum of money is distributed among P, Q, R and S in the ratio 3 : 4 : 5 : 6, respectively. If R gets ₹500 more than P, then the sum of all their shares (i...
- The average of first 6 positive multiples of 6 will be __________.
- Find the rate of interest if a sum of money becomes 8 times after 3 years when interest is being compounded annually.
- Abhinav bought some pencils for ₹ X. He sold 20% of pencils at 25% loss, one third at 20% profit and the remaining at 25% profit. If the total profit earne...
- P, Q and R can finish a work in 5 days, 10 days, and 15 days, respectively, working alone. P and Q works on first day, P and R works on second day and P an...
- The four walls and ceiling of a room of length 25 m, breadth 12 m and height 10 m are to be painted. Painter A can paint 200 m2 in 5 days, Painter B can pa...
- The cost price of an article is ₹600. A shopkeeper sells it for ₹680 after giving a discount of 15% on its list price. If he sells it after giving a discou...
- Solve the following: 240 ÷ 8 × 512 ÷ 4
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
