Lexie bought a new car for $32,000. It
1 answer:
You might be interested in
The dimensions of the circular cylinder of maximum volume inscribed in sphere is r = 20.4 cm , h = 28.86 cm.
<h3>What is a sphere ?</h3>A sphere is a three dimensional round shaped figure , It has no vertices and the distance form the centre to any point on the sphere is same.
It is given that
A right circular cylinder is inscribed in a sphere
The circular cylinder has the maximum volume
Radius of the sphere is 25 cm.
Dimensions of the cylinder = ?
As it is a right cylinder.
The Pythagoras theorem can be applied
r² + (h/2)² = 25²
r² = 625 - h²/4
volume of the cylinder
= πh(625 - h²/4)
= π(625 h - h³/4)
As the volume is maximum ,
so the derivative of the expression = 0
π(625 - 3h²/4) = 0
so h = 50 /√ 3
so r² = 625 - 2500 / (3 *4 )
r = 20.4 cm
h = 28.86 cm
Therefore the dimensions of the circular cylinder of maximum volume inscribed in a sphere is r = 20.4 cm , h = 28.86 cm.
To know more about Sphere
#SPJ1
Answer: C) 0.833%
Step-by-step explanation:
Given: Cost price of house = $120,000
The rate of increase of its cost = 10%
Therefore, the increase amount of house per year =10% of $120,000
Now, the amount increase each month=
Let r be the rate of growth each month, then
r% of $120,000=1000