Answer with positive exponent = or
Answer with negative exponent =
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Explanation:
The rule we use is
If we multiply two exponential expressions with the same base, then we add the exponents.
The base for each is 5. The exponents 4 and -7 add to -3.
This means
To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.
So,
<u>Given</u>:
Given that the radius of the sphere is 9 cm
We need to determine the volume of the sphere.
<u>Volume of the sphere:</u>
Let us determine the volume of the sphere.
The volume of the sphere can be determined using the formula,
where r is the radius of the sphere.
Substituting r = 9 in the above formula, we get;
Thus, the volume of the sphere is 972π cm³
Hence, Option B is the correct answer.
A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:
From the statement of the problem we know:
So:
Since we can't have negative distance, the only valid option is