a plastic cone has a radius of 7 centimeters and a height of 20 centimeters. the cone has a mass of 900 grams what is the density of the plastic? round to the nearest hundredth
A) .88 grams pe cubic centimeter
B) .29 grams per cubic centimeter
C) 3.42 cubic centimeters per gram
D) 1.14 cubic centimeters per gram
To find the density of the plastic cone, we need to find the volume of the cone and divide it by the mass.
The volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius and h is the height.
Plugging in the values, we have V = (1/3)π(7^2)(20) = (1/3)π(49)(20) = (1/3)π(980) = 980/3π ≈ 326.38 cubic centimeters (rounded to the nearest hundredth).
Now, we divide the mass of the cone, which is 900 grams, by the volume we just found.
Density = mass/volume = 900/326.38 ≈ 2.76 grams per cubic centimeter (rounded to the nearest hundredth).
So, the density of the plastic is approximately 2.76 grams per cubic centimeter.
The closest option to this value is B) .29 grams per cubic centimeter, but there seems to be a discrepancy in the calculations. Please check your calculations again.