If a metal pipe 10cm long has an external diameter of 12c...
If a metal pipe 10cm long has an external diameter of 12cm and a thickness of 1cm find the volume of the metal used in making the pipe
120\(\pi\)cm3
110\(\pi\)cm3
60\(\pi\)cm3
50\(\pi\)cm3
Correct answer is B
The volume of the pipe is equal to the area of the cross section and length.
let outer and inner radii be R and r respectively.
Area of the cross section = (R2 - r2)
where R = 6 and r = 6 - 1
= 5cm
Area of the cross section = (62 - 52)\(\pi\) = (36 - 25)\(\pi\)cm sq
vol. of the pipe = \(\pi\) (R2 - r2)L where length (L) = 10
volume = 11\(\pi\) x 10
= 110\(\pi\)cm3
If the quadratic function 3x2 - 7x + R is a perfect square, find R...
If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and ...
Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q? ...
Given that (2x - 1)(x + 5) = 2x2 - mx - 5, what is the value of m ...
If x + \(\frac{1}{x}\) = 4, find x2 + \(\frac{1}{x^2}\)...
The square root of a number is 2k. What is half of the number ...
100112 + *****2 + 111002 + 1012 = 10011112...
In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h. ...
Find the probability that a number selected from the number 30 to 50 inclusive is a prime ...
Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x - \sqrt{2}}\) ...