If the surface area of a sphere increased by 44%, find th...
If the surface area of a sphere increased by 44%, find the percentage increase in diameter
44
30
22
20
Correct answer is D
Surface Area of Sphere A = 4\(\pi r^2\)
∴ A = 4\(\pi\)\(\frac{(D)^2}{2}\)
= \(\frac{(D)^2}{2}\)
= \(\pi\)D2
When increased by 44% A = \(\frac{144 \pi D^2}{100}\)
\(\pi\)\(\frac{(12D)^2}{10}\) = \(\pi\)\(\frac{(6D)^2}{5}\)
Increase in diameter = \(\frac{6D}{5}\) - D = \(\frac{1}{5}\)D
Percentage increase = \(\frac{1}{5}\) x \(\frac{1}{100}\)%
= 20%
A fair die is rolled once. What is the probability of obtaining 4 or 6? ...
If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ ...
If y = 4x3 - 2x2 + x, find \(\frac{\delta y}{\delta x}\)...
In the diagram above, ∠PTQ = ∠URP = 25° and XPU = 4URP. Calculate ∠USQ. ...
In the figure, PQ||ST, RS||UV. If PQR = 35o and QRS = 65o, find STV...
Factorize completely \((x^2 + x)^2 - (2x + 2)^2\)...
The length of a piece of stick is 1.75 m. A boy measured it as 1.80 m. Find the percentage erro...
What is the general term of the sequence 3, 8, 13, 18, ...? ...