A can in the shape of a right cylinder is filled with 10W-40 oil. The weight of 10W-40 oil is 0.857 gram per cubic centimeter. If the cylinder has a radius of length 6 cm and a height of 10 cm, calculate the weight of the oil (in grams) in the can. Round your answer to the nearest tenth.
To solve this, we have to find the volume of the cylinder first. The formula to be used is [tex]V = \pi r^{2} h[/tex]
Given:V= ?r= 6cmh= 10cm Solution:[tex]V = \pi r^{2} h[/tex] V= (3.14)(6cm)[tex]^{2} [/tex] x 10cmV= (3.14)([tex]36cm^{2} [/tex]) x 10cmV= ([tex] 113.04cm^{2} [/tex]) x 10cmV= 1130.4cm^3 Finding the volume of the cylinder, we can now solve what the weight of the oil is. Using the formula of density, Density = mass/volume, we can derive a formula to get the weight. Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3 Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm The weight of the oil is 968.75 gm.
