Answer:
Volume of sphere = 200 in³
Step-by-step explanation:
Given:
Volume of cylinder = 150 in³
Height = Radius
Radius of cylinder = Radius of sphere
Find:
Volume of sphere = ?
Computation:
![Volume\ of\ cylinder = \pi r^2h\\\\Given\ r=h\\\\So, \\\\Volume\ of\ cylinder = \pi r^2r\\\\150 = \pi r^3\\\\](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20cylinder%20%3D%20%5Cpi%20r%5E2h%5C%5C%5C%5CGiven%5C%20r%3Dh%5C%5C%5C%5CSo%2C%20%5C%5C%5C%5CVolume%5C%20of%5C%20cylinder%20%3D%20%5Cpi%20r%5E2r%5C%5C%5C%5C150%20%3D%20%5Cpi%20r%5E3%5C%5C%5C%5C)
![Volume\ of\ sphere =\frac{4}{3} \pi r^3\\\\We\ know \ that , \pi r^3 = 150\\\\ Volume\ of\ sphere =\frac{4}{3} \times 150\\\\Volume\ of\ sphere =200](https://tex.z-dn.net/?f=Volume%5C%20of%5C%20sphere%20%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3%5C%5C%5C%5CWe%5C%20know%20%5C%20that%20%2C%20%5Cpi%20r%5E3%20%3D%20150%5C%5C%5C%5C%20Volume%5C%20of%5C%20sphere%20%3D%5Cfrac%7B4%7D%7B3%7D%20%5Ctimes%20150%5C%5C%5C%5CVolume%5C%20of%5C%20sphere%20%3D200)
Volume of sphere = 200 in³
The answer will be 250 because you divide 2 by 500
7/8 = <span>0.875
3/4 </span><span>= 0.75
</span>0.875 - 0.75 = 0.125
Answer. 0.125
Answer:
Step-by-step explanation:
The function used to represent the height of a punted football can be modeled as
f(x) = -.0079x² + 1.8x + 1.5
Where f(x) is the height in feet, and x is the horizontal distance, also in feet.
a) when the ball was punted, x = 0, therefore, the height of the punted ball would be
f(x) = -.0079(0)² + 1.8(0) + 1.5
f(x) = 1.5 feet
The height is 1.5 feet
b) The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height reached by the punted ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = - 0.0079
b = 1.8
Vertex = - - 1.8/0.0079 = 227.84 feet
So the maximum height of the punt is 227.84 feet
Answer:
linear equation
Step-by-step explanation:
43x + 4 = y is known as <u>a linear equation since its graph is a straight line</u>.