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2 years ago

Why can you double the volume of a right prism by doubling either the height or the area of the base?

Mathematics

1 answer:

krok68 [10]2 years ago

3 0

Answer: You can double the volume of te right prism by doubling either the height of the area of the base because if you do that it will either get double the height, therefore being double the size, or double the width, therefore being double the size as well. So the volume will also be double.

Step-by-step explanation:

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Triangle PQR is transformed to similar triangle P′Q′R′ below:

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The diameter of a iron sphere is 8 cm. It is beaten and drawn into a wire with a diameter of 2 mm. Find the length of the wire.

djyliett [7]

Answer : The length of the wire is, 8533 cm

Step-by-step explanation :

As the iron sphere is beaten and drawn into a wire. That means, their volume will be equal.

Volume of iron sphere = Volume of cylindrical wire

The formula will be:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

where,

$r_1$ = radius of sphere = $\frac{Diamtere}{2}=\frac{8cm}{2}=4cm$

$r_2$ = radius of cylindrical wire = $\frac{Diamtere}{2}=\frac{2mm}{2}=1mm=0.1cm$

h = height of cylindrical wire or length of wire

Now put all the given values in the above formula, we get:

$\frac{4}{3}\pi r_1^3=\pi r_2^2h$

$\frac{4}{3}\times r_1^3=r_2^2h$

$\frac{4}{3}\times (4)^3=(0.1)^2h$

$h=8533.33cm\approx 8533cm$

Therefore, the length of the wire is, 8533 cm

6 0

2 years ago

Which number should each side of the equation 3/4 = 9 be multiplied by to produce the equivalent equation of x = 12?

Tema [17]

You need to multiply both sides of the equation by the reciprocal of 3/4. The reciprocal is 4/3 and 4/3 multiplied by 9 = 12. So x = 12 because a number times the reciprocal is one.

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