Write an equivalent expression by factoring.5x + 15
1 answer:
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<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by
We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,
Substituting the values, r = 6.3 and π = 3.14, we have;
Simplifying the values, we have;
Dividing, we have;
Rounding off to the nearest tenth, we get;
Thus, the volume of the hemisphere is 523.5 cm³
To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.
<h3>Pythagorean Theorem</h3>This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.
To calculate the base of the triangle, let's use Pythagorean theorem here
Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.
From the calculations above, the values of the triangle are
- diagonal = 7
- base = 3.61
- height = 6
Learn more on pythagorean theorem here;
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