Find the surface area 8in 3in 6in
1 answer:
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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.
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The approximation of the circumference of the ride is 138 feet to the nearest foot
<h3>How to determine the circumference?</h3>The given parameters are:
- Center (a,b) = (0,0) i.e. the origin
- A circular ring, (x,y) = (16,15.1)
The radius is calculated using:
So, we have:
Evaluate
r = √484.01
Evaluate the square root
r = 22.0
The circumference is calculated using
C = 2πr
So, we have:
C = 2π * 22.0
Evaluate
C = 138
Hence, the approximation of the circumference of the ride to the nearest foot is 138 feet
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Answer:
LOOK BELOW !!!
Step-by-step explanation:
get rid of the Y and put in a 6
we need to get rid of the negative 14 so its only 8x.
to get rid of 14 on one side you add it to the other
to get X by itself have to divide 8 by both sides