What is the formula for finding the height of a sphere? No links. Thanks in advance.

Mathematics

2 answers:

professor190 [17]3 years ago

8 0

Answer:

The height can be represented as the diameter of the circle.

Step-by-step explanation:

A circle's height can be represented as a diameter because it is the distance between one end of the circle to the other end as it passes through it's center. So it now depends on the parameters given to calculate the diameter using the appropriate formulae.

inn [45]3 years ago

6 0

Step-by-step explanation:

what is the formula for finding the height of a sphere?

H → 2r

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The volume of a cone is $V=\pi r^2\frac{h}3$ where r = radius and h = height. If the cone has a volume of 94.2 cm³ (I assume you didn't mean m³ because that would be ridiculously huge) and a height of 10 cm, we can plug these values into the formula to find the radius. Don't do any rounding.

$94.2 = \pi r^2\frac{10}3 \\ 282.6 = \pi r^2 *10 \\ 28.26 = \pi r^2 \\ 8.99543738355 = r^2 \\ 2.99923946752=r$

Now we know that's going to be the radius of our <em>new </em>cone as well since we're keeping the diameter the same. The volume is going to be double 94.2 which is 188.4. Let's solve for the height.

$188.4 = \pi (2.99923946752)^2\frac{h}3 \\ 188.4 = \pi(8.99543738355)\frac{h}3 \\ 188.4 = 28.26\frac{h}3 \\ 565.2 = 28.26h \\\\ \boxed{h = 20, r\approx 3}$

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What is the formula for finding the height of a sphere? No links. Thanks in advance.​

What is the formula for finding the height of a sphere? No links. Thanks in advance.