Answer:
The area of triangle is
Step-by-step explanation:
It is given that AB=19cm, BC=12cm and ∠B=105°
Now, Area of the triangle ABC=
=
=
=
Thus, the area of triangle is
A website sells used comic books.The table shows how the price of Painted Tiger,Volume 1, has changed over the last 4 months.If
the price started at $7.37, what is the current price?Explain how you know that your answer is reasonable.
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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