Answer :-
- 440 cm2
- 4
Solution :-
#1
- Volume of a right circular cylinder = 1100 cm³
- πr² h = 1100 cm³
- Here r = 5
- (22/7) ⋅ (5)² ⋅ h = 1100
- h = 2/7
- Curved surface area of cylinder = 2 πr h
- 2 ⋅ (22/7) ⋅ 5 ⋅ (2/7)
- 440 cm²
♧ So, the curved surface area of cylinder is 440²
#2
- To find the number required to divide 256 such that the quotient is a perfect cube, we have to decompose 256 into prime factors.
[tex]\sf\longmapsto \sqrt[3]{256} [/tex]
- When we group the prime factors inside the cube root as triples, we left over with 2⋅ 2. That is 4.
- Hence 4 is the smallest number required to divide 256 so that the quotient is a perfect cube.
Hope it helps
