Question
A solid sphere has a radius of 7 cm. A hemisphere is
removed from the sphere. What is the volume of the remaining part of the sphere?Solution
The volume of a sphere is given by: Volume of Sphere = (4/3)πr³ The volume of a hemisphere is half of the volume of the sphere: Volume of Hemisphere = (1/2) × (4/3)πr³ = (2/3)πr³ Now, the volume of the remaining part of the sphere is: Volume = Volume of Sphere - Volume of Hemisphere Volume = (4/3)π(7)³ - (2/3)π(7)³ Volume = (4/3)π × 343 - (2/3)π × 343 Volume = (2/3)π × 343 Volume = (2/3) × 22/7 × 343 Volume = 718.67 cm³ Correct Option: c
The National Mission for Clean Ganga (NMCG) is aimed at which of the following?
What is the distance between the football goal posts?
Which private startup/company currently holds the highest reported private valuation (2024)?
Consider the following statements in regards to the Economic Survey of India 2022-23:
1.   India became the 2nd largest mobile phone manufac...
Below are two chemical equations:
Zn (s) + CuSO₄ (aq) → ZnSO₄ (aq) + Cu (s)
Pb (s) + CuCl₂ (aq) → PbCl₂ (aq) + Cu (s)
Which of the following is a human factor responsible for soil erosion?
1. Deforestation
2. Run off water
3. Overgrazing
...Which of the following towns was NOT designated as a Town of Export Excellence ( TEE ) in the FTP 2023?
The leaves danced in the wind.
The Registration of Birth and Death Act came into force in the year ___________.
A Governor shall, notwithstanding the expiration of his term, continue to hold office until ______________.