Test: Cylinders - 2 - GMAT MCQ

Volume of a cylinder can be given by multiplying base area with its height.
Hence, volume of a cylinder having radius r and height h is equal to πr²h where πr² is base area and h is height.

Volume of a cylinder having radius r and height h is equal to πr²h.
πr²h = 1540
22/7 * 7 * 7 * h = 1540
h = 10cm.

Explanation: Volume of a cylinder having radius r and height h is equal to πr²h.
πr²h = 176
22/7 * 14 * r² = 176
r² = 4
Therefore, r = 2cm
We know that diameter = 2 * radius
= 2 * 2
= 4cm.

Let the outer radius = r_o = 3cm
Inner radius = r_i = 2cm
Height (here length) = l = 5m = 500cm
Volume of pipe = π * (r_o ² – r_i ²) * l
= 22/7 * (3² – 2²) * 500
= 7857.14cm³
Mass of 1cm³ is 8.05 gram
Therefore, mass of 7857.14cm³ is equal to 8.05 * 7857.14
= 63249.97gm
≈ 63250 gm
= 63.25 kg.

We are given the height and the radius of the cylinder, which is all we need to calculate its surface area. The total surface area will be the area of the two circles on the bottom and top of the cylinder, added to the surface area of the shaft.
If we imagine unfolding the shaft of the cylinder, we can see we will have a rectangle whose height is the same as that of the cylinder and whose width is the circumference of the cylinder.
This means our formula for the total surface area of the cylinder will be the following:
SA = 2(πr²) + 2πrh
SA  =2π(4)² + 2π(4)(9)
SA = 32π + 72π
SA = 104π

To find the surface area of a cylinder, you must use the following equation.
SA = 2πrh + 2πr²
Thus,
SA = 2π(3)(6) + 2π(3²) = 54π

volume = πr²h = π∗6²∗12 = 432π

V = πr²h = π(10²)30 = 3000π

The volume V of a cylinder with radius r and height h is defined as V = πr²h.
Plugging in our given values:
V = πr²h
V = π(10)²(15)
V = π(100)(15)
V = 1500π

To find the volume of a cylinder, you must use the following equation:
V = πr²h
Thus,
V = π(2²)(8) = 32π