Question
A rectangular piece of copper foil of length 42 cm and
area 924 cm2 is folded along its width to form a cylinder such that there is only one layer of copper foil on any part of the cylinder. What is the volume (in cm3) of the cylinder so formed?Solution
Width of the rectangular piece of copper foil = 924/42 = 22 cm Since the foil is folded along its width to form a cylinder without any double layer, circumference of the cylinder formed = width of the rectangular foil Also, height of the cylinder so formed = length of the rectangular copper foil So, 2 × π × radius = 22 Radius of cylinder = 22 ÷ (2 × 22/7) = (22/44) × 7 = 3.5 cm So, volume of the cylinder so formed = π × (radius)2 × height = (22/7) × 3.5 × 3.5 × 42 = 1617 cm³
A consumer purchases x1 = 40, x2 = 20 at the prices p1 = 4 and p2 = 12. He is also observed to purchase x1 = 36 and x2 = 8 at the prices p1 = 6 and p2 =...
Consider the following:
Statement 1: There exists an inverse relationship between market rates of interest and price of bond
Statement 2: ...
When exchange rate in terms of domestic currency rises:-
Refer to the below table and calculate the NNPmp
The histogram above represents the lifespan of a random sample of a particular type of insect.
Determine the relationship between the mean and me...
The two regression lines are 6X+4Y=52 and 12X+6Y=62. Find the correlation coefficient.
...With reference to Pradhan Mantri Kaushal Vikas Yojana, consider the following statements:
- It is the flagship scheme of ...
An increase in the international reserves of an economy indicates thatÂ
The coefficient of correlation between two variables X and Y is 0.6 .
The covariance between X and Y is 30 .
The variance of X is 25 .
...
Relevant for Exams:
