Question

Four cylindrical barrels each have a capacity of 100 L but have different diameters and heights. Determine the height of the barrel for each diameter. a) 40.0 cm b) 45.0 cm c) 50.0 cm d) 55.0 cm​

Answer 1

Answers for each below

Step by step

We know V = TT x radius ^2 x height

So fill in your known values and solve

Given are diameters, we know radius is 1/2 so divide each diameter by 2 first

a) 100 = 3.14 x 20^2 x height
100 = 3.14 x 400 x height
100 = 1256 x height
100/1256 = height
Height = .08cm

b) 100 = 3.14 x 22.5^2 x height
100 = 3.14 x 506.25 x height
100 = 1589.625 x height
100/ 1589.625 = height
Height = .06cm

c). 100= 3.14 x 25^2 x height
100 = 3.14 x 625 x height
100 = 1962.5 x height
100/ 1962.5 = height
Height = .05 cm

d). 100 = 3.14 x 27.5 ^2 x height
100 = 3.14 x 756.25 x height
100 = 2374.625 x height
100/2374.625 = height
Height = .04 cm