Answer:
22.5
Step-by-step explanation:
What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.
If you want to calculate it yourself stop reading here, because I will work it out now.
Volume box = a*b*c
Volume prism = 15
Volume pyramid = (b * c * a)/3
The prism has the volume of the box minus the pyramid so
abc - (abc)/3 = 15
abc - (1/3)abc = 15
(2/3)abc = 15
abc = 22.5
So 22.5 is the volume of the figure
Answer:
640 feet cubed
Step-by-step explanation:
Volume=length x width x height
V=8 x 10 x 8
V=640
Answer:
B
Step-by-step explanation:
this equation is in the form of ax^2+bx+c
so a is 4, b is -9, and c is 8
Y=15x-200
y=15(10)(4)-200; you multiply by 4 because there are 4 weeks in a month.
y=150(4)-200
y=600-200
y=400; they would make a $400 profit.
It is given that the diameter of the sphere increases <span>at the rate of 3 inches more than the time, t.
This means that:
at a certain time = t seconds
the diameter of the sphere will be equal to t + 3
Based on this:
at t = 3 seconds
diameter of the sphere = t + 3 = 3 + 3 = 6 inches = </span><span>0.1524 meters
and radius of sphere = 0.5 x </span><span>0.1524 = 0.0762 meters
Volume of the sphere can be calculated using the following rule:
volume of sphere = (4/3) x pi x (radius)^3
Substituting in this equation, we can get the volume of the sphere at t = 3 seconds as follows:
volume at t=3 seconds = (4/3) x 3.14 x (</span>0.0762)^3 = 1.8533 x 10^-3 m^3
