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blondinia [14]
3 years ago
11

a cylinder and a cone have the same volume. the cylinder has a radius of 2 inches and height of 3 inches. the cone has a radius

of 3 inches. what is the height of the cone?​
Mathematics
1 answer:
kaheart [24]3 years ago
3 0

Answer:

Step-by-step explanation:

Volume of a cylinder = pi*(xx)^2*yy

= x^4*pi*yy

Volume of a cone = 1/3*pi*(9x^2)^2*h

= 27pi*x^4*h

x^4*pi*y^2 = 27pi*x^4*h

h = y^2 / 27

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PIT_PIT [208]

Answer:

The fraction of all shapes which are square in shape is \frac{23}{32}.

Step-by-step explanation:

Given that , in a game , white and black shapes are used. Some of them are circle in shape and remains are square in shape.

The ratio of white to black shapes are 5:11.

Consider 5x= the number of shapes which are white in color.

11x= The number of shapes which are black in color.

There are (5x+11x)= 16x shapes in the game.

The  white circle and white square are in the ratio 3:7.

The number of white square is

=(\textrm{The number of white shape})\times (\frac{7}{3+7})

=(5x)\times (\frac{7}{10})

=\frac{7x}{2}

The black circles and black square are in the ratio 3:8

The number of black square is

=(\textrm{The number of black shape})\times (\frac{8}{3+8})

=(11x)\times (\frac{8}{11})

=8x

Therefore the total number of shape which are square is

=\frac{7x}{2}+8x

=\frac{7x+16x}{2}

=\frac{23x}{2}

The fraction of all shape are square is

=\frac{\textrm{shape in square}}{\textrm{Total number shape}}

=\frac{\frac{23x}{2}}{16x}

=\frac{23}{32}

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Step-by-step explanation:

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