Question
A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3? (Take π = 22/7)
Solution
⇒ Volume = (6688/10.5) Now, ⇒ (6688/10.5) = (4/3) × (22/7) × (6 - r ) ⇒ (63 - r3) = (6688 × 3 × 7)/(22 × 4 × 10.5) ⇒ (63 - r3 ) = 152 ⇒ 216 - r3 = 152 ⇒ r3 = 216 - 152 ⇒ r3 = 64 ⇒ r = ∛64 ⇒ r = 4 Now, ⇒ Thickness = 6 - 4 = 2 cm ∴ Thickness of the shell 2 cm
More Quant Miscellaneous Questions
- In a school, 40% of the students are boys, and the rest are girls. If 75% of the boys and 80% of the girls passed an exam, what percentage of the total stu...
- Printer resolution is measured in which of the following?
- Question 3
- Quantity I: The distance a truck travels from point P to point Q, given that a bike covers the same distance in 2 hours. The truck's speed is 140 km/hr, wh...
- P invested Rs. 7,000 at a simple interest rate of 22% per annum, while Q invested an unknown sum at a compound interest rate of 20% per annum (compounded a...
- The marked price and the selling price of an item are in the ratio of 5:4. If the % discount offered is equal to the % profit earned, what is the ratio of ...
- The area of a square garden is 400 m². Calculate the perimeter of the garden.
- What is the total sales for Product B in all four quarters combined?
- A person 'P' invested Rs. 5,600 at a simple interest rate of 25% per annum for a specific duration, resulting in a total amount of Rs. 12,600 at the end. D...
- (0.64) -2.5 = ?
Relevant for Exams:
