Question

Please help me with this last problem (geometry)

Answer 1

.  $V= \pi r^{2} h$.  We have the radius of .8 and the height of 1.5 now we need to use them to find the volume, which will be in cubic yards.  Then we will convert that to cubic feet.  But one thing at a time.  $V=(.8) ^{2}(1.5) \pi$, and $V=.96 \pi yd ^{3}$.  The easiest way to convert this is to use the factor label method.  You may not have gone through school calling it that, but I guarantee you that you will recognize it.  $.96 \pi yd ^{3}$ could be expanded to this: $.96 \pi yd*yd*yd$.  yd * yd * yd = yards cubed.  Now let's work on the conversion to feet cubed.  Using that expansion of yards, $.96 \pi (yd)(yd)(yd)* \frac{(3ft)(3ft)(3ft)}{(yd)(yd)(yd)}$.  Since 1 yd = 3ft, and we have yd^3 we need feet cubed as well.  This simplifies down to $V=.96 \pi (27)$ since 3 cubed is 27.  Doing that multiplication we get that the volume is $25.92 \pi ft^{3}$

Answer 2

V=area of the base time height
V= πr^2*1.5
V= π(. 8)^2(1.5)
V=. 64π(1.5)
V=. 96π this answer is in yards though
Now let's convert is to feet
. 96 time 3 is 2.88
2.88 feet cubed is the answer