Question

PLZZZ!!!!!! HELP

Answer 1

17.41- The formula for the volume of a cylinder is pi radius squared times height. (i.e. the area of the base times the height).  You have pi 1.5 squared times height =123.  Then you square it so you have 2.25 pi h= 123. then you have 7.065h=123. The you do algebra and you get 17.409, and round it to 17.41.

Answer 2

Answer:  The correct option is (C) 17.41 in.

Step-by-step explanation:  Given that a pillar candle is shaped like a cylinder with a radius of 1.5 inches and the candle holds 123 cubic inches of wax.

We are to find the height of the candle.

We know that the VOLUME of a cylinder with radius r units and height h units is given by

$V=\pi r^2h.$

For the given cylindrical candle, we have

radius, r = 1.5 inches

and

VOLUME, V = 123 cubic inches.

height, h = ?

We have

$V=\pi r^2h\\\\\Rightarrow 123=3.14\times (1.5)^2\times h\\\\\Rightarrow h=\dfrac{123}{3.14\times2.25}\\\\\\\Rightarrow h=\dfrac{123}{7.065}\\\\\Rightarrow h=17.4097.$

Rounding to nearest hundredth, h = 17.41 in.

Thus, the Candle is 17.41 inches tall.

Option (C) is CORRECT.