<span>I rounded up the whole number as if each student sells only 3 sweatshirts, it is too little to pay for the whole trip, therefore the number must be 4. Hope that helps!</span>
Answer:
Volume of cylinder = 360.010cubic inches
Step-by-step explanation:
Volume of a cone
V = πr^2h/3
V - volume
π - pie
r - radius
h - height
Given
V = 120 inches cubic
π - 3.142
120 = 3.142 * r^2 * h/3
120 = 3.142r^2h/3
120 = 3.142/3 * r^2h
120 = 1.0473r^2h
r^2h = 120 / 1.0473
= 114.580
Make h the subject of the formula
h = 114.580 / r^2
Gotten the value for h, substitute h into the formula for volume of a cylinder
Since the cone and the cylinder has the same base and height
V = πr^2h
h = 114.580/r^2
π - 3.142
V = 3.142 * r^2 * (114.580/r^2)
V = 3.142 * r^2 * 114.580/r^2
r^2 divides r^2
V = 3.142 * 114.580
V = 360.010 cubic inches
Answer:
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Step-by-step explanation:
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Answer:
<h3>80 feet</h3>
Step-by-step explanation:
Given the path of a projectile launched from a 16-ft-tall tower modeled by the equation y = −16t^2 + 64t +16
h is the maximum height reached
t is in seconds
The velocity of the projectile at its maximum height is zero;
velocity v = dy/dt
v = -32t + 64
Since v = 0 at maximum height
0 = -32t + 64
32t = 64
t = 2secs
Substitute t = 2secs into the equation of the height to get the maximum height.
y = −16t^2 + 64t +16
at t = 2secs
y = −16(2)^2 + 64(2) +16
y = -64 + 128 + 16
y = 64+16
y = 80 feet
Hence the maximum height, in feet, reached by the projectile is 80 feet
One board is 31.5 inches long. all the boards together is 157.5 inches long
