Question

H = (3v/π) * r^2.

find the height (h), if the Volume is 70 cm^3 and the radius is 2 cm. Round to the nearest hundredth.
A) h = 0.3 cm
B) h = 1.18 cm
C) h = 2.36 cm
D) h = 4.71 cm

Answer 1

The height (h) of the cylinder can be found by rearranging the formula for volume of a cylinder and plugging in the given values for volume and radius.

Step-by-step explanation:

To find the height (h), we can rearrange the formula for volume of a cylinder, V = πr²h, to solve for h. We know that the volume (V) is 70 cm³ and the radius (r) is 2 cm. Plugging in these values, we get 70 = π(2)²h. Simplifying, we have 70 = 4πh. Divide both sides by 4π to solve for h: h = 70 / (4π). Using the value of π as 3.14159, we can calculate h to be approximately 5.58 cm. Rounding to the nearest hundredth, the answer is h = 5.58 cm.