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 ladder 10 m long is leaning against a vertical wall. It makes an angle of 60º with the ground. How far is the foot of the ladder from the wall?
- In a mixture, the ratio of milk to water is 3:2. Which ratios represent the same mixture with more water?
- The profit earned on the item sold at the rate of 2720 rupees, is 11% more profit than the loss on the same item sold at the rate of Rs. 1,243. Find the pu...
- What approximate value should come in place of the question mark (?) in the following question? 2998.88 ÷ 101.02 – 4.999 × 2.8998 + 6.978 = ?
- If 20% of a number is added to 120, then the result is the same number. 80% of the same number is:
- An amount of Rs 7,600 is invested on ordinary interest at an annual rate of 8%. If after 5 years the amount was withdrawn and half the amount of the total ...
- If the annual rate of simple interest increases from 8% to 12(1/2)%, a person's yearly income increased by ₹639. The principal amount (in ₹) is:
- A train goes from one place to another place at a speed of 60 km/hr. At what speed should it return to have an average speed of 48 km/hr?
- The interior angle of a regular polygon exceeds its exterior angle by 90°. The number of sides of the polygon is:
- Find the values of x, y and z, so as to satisfy the equations given below: x + y + z = 12; x + y – z = 6; x – y + z = 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
