Question

A concrete column in a parkade is
cylindrical. The column is 10 m high and has diameter 3.5 m.
a) What is the volume of concrete in one column?
b) There are 127 columns in the parkade.
What is the total volume of concrete?
c) What if the concrete in part a is made into a cube.
What would the dimensions of the cube be?

Answer 1

a) volume of a cylinder is pi * r^2 * h
where r is the radius, and h is the height. you are given diameter, not radius, so divide diameter/2 to get radius. from there, plug r and h into the volume equation and evaluate the volume

b) the previous calculation is the volume of one column. therefore, if there are 127 columns, multiply the volume in part a by 127

c) volume of a cube = s^3 where s is the side length. set volume from part a equal to s^3 and solve for s. (take the cube root of both sides).