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3 years ago

A sphere and a cone have the same volume each figure has a radius of 3 inches what is the height of the cone

1 answer:

4 0

Volume of the sphere = 4/3πr³
Volume of the sphere = 4/3 (π) (3)³
Volume of the sphere = 36π

Volume of the sphere = Volume of the cone

36π = 1/3π(3)²h
36π = 3πh
h = 36π ÷ 3π
h = 12

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Answer: The height is 12 inches.
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2 years ago

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What is the approximate volume of a cone with a radius of 15 cm and a height of 4 cm? Round your answer to the nearest hundredth

vichka [17]

Answer:

Volume of a cone $=942.86cm^3$

Step-by-step explanation:

Given that the radius of a cone is 15cm and its height is 4cm

That is r=15cm and h=4cm

To find the volume of a cone :

volume of a cone $=\frac{\pi r^2h}{3}$ cubic units

Now substitute the values in the formula we get

volume of a cone $=\frac{(\frac{22}{7}) (15)^2(4)}{3}$

$=\frac{(\frac{22}{7}) (225)(4)}{3}$

$=\frac{19800}{21}$

$=942.857$

Now round to nearest hundredth

$=942.86$

Therefore Volume of a cone $=942.86cm^3$

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2 years ago

Describe the end behavior of the following function: F(x)=2x^4+x^3

Anika [276]

Answer:

Rises to the left and rises to the right.

Step-by-step explanation:

Since, the given function is f(x)= $2x^{4}+x^{3}$ , and the end behavior of the given function is determined as:

Consider the given function f(x)= $2x^{4}+x^{3}$ , identify the degree of the function:

The degree of the function is : 4 which is even

And then identify the leading coefficient of the given function that is +2 which is positive in nature.

Hence, the function is positive and even in nature, therefore, the end behavior of the function will be rising to the left and rising to the right.

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2 years ago

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