Question
The ratio of volumes of spheres A and B is 8:27. If the
difference between their total surface area is 3080 cm² then find diameter of sphere A. (in cm)Solution
ATQ,
Volume ratio A:B = 8:27 → radii ratio = 2x : 3x Surface area of A = 4π(2x)² = 16πx² Surface area of B = 4π(3x)² = 36πx² Difference = 36πx² – 16πx² = 20πx² = 3080 Solve: 20πx² = 3080 x² = 3080 / (20 × 3.1416) ≈ 49 x = 7 Radius of A = 2x = 14 Diameter = 2 × radius = 28 cm
Which Indian air exercise conducted in 2024 focuses on improving interoperability with Friendly Foreign Countries?
The Dhaka Literary Festival was held after a three year gap after the Covid pandemic. It took place on _____ to ______ January, 2023.
Recently Nakul Jain has become as CEO of which of the following companies?
Which country became the first to import 40 megawatts of electricity from Nepal via India's power grid, as part of a trilateral agreement in 2024?
Which two books were launched during the Urban Adda 2025 conclave?
Which Australian city has decided not to host the Commonwealth Games 2026?
Which authority launched Phase II of the Niveshak Didi initiative to strengthen financial literacy, especially among women?Â
Paintbrush Swift, a species uncommon in the western Himalayas, has been sighted and documented for the first time in Himachal Pradesh’s Chamba distric...
Who inaugurated the Vidya Samiksha Kendra and laid the foundation stone for 141 PM Shri Schools and the Netaji Subhash Chandra Bose Residential School i...
Oman has set a target of attracting how many Indian tourists annually?
Relevant for Exams:
