Mathematics: Please help, I can t fail this

Please help, I can t fail this - id8781435, ehejndjed

josselynparra22

07.02.2022

The answer is 2143.57 cm³

Step-by-step explanation:

Volume of a sphere can be found by using the formula

$v = \frac{4}{3} \pi {r}^{3} \\$

r is the radius

From the question we have

$v = \frac{4}{3} \times 3.14 \times {8}^{3} \\ = \frac{4}{3} \times 3.14 \times 512 \\ = 2143.57333..$

We have the final answer as

2143.57 cm³

Hope this helps you

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haza1873

15.02.2022

Option (2)

Step-by-step explanation:

Given:

Diameter of the circular base of a cone = 6 feet

Volume of the cone = 176 cubic feet

To Find:

Height of the cone

Solution:

Formula to be used to get the height of the cone,

Volume of cone = $\frac{1}{3}\pi r^{2} h$

Here, r = Radius of the cone

h = Height of the cone

By substituting the values in the formula,

176 = $\frac{1}{3}\pi (\frac{6}{2})^2(h)$

176 = 3πh

h = $\frac{176}{3\pi }$

h = $\frac{176}{3(3.14)}$

h = 18.68 feet

Therefore, Option (2) is the correct option.

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