Answer:
It is 1 minute and 48 second difference so he was 1 minute and 48 second faster, I may be wrong so please check
Step-by-step explanation:
Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid
we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base
using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm
the answer is
<span>
the length of the sculpture’s base is 9 cm</span>
the height of the sculpture is 6 cm
Answer:
Option D. 
Step-by-step explanation:
we know that
The volume of the cylinder is equal to

In this problem we have


substitute
-----> exact value of the volume
C. 1/5 is the fraction of employees that work part time.