What is the volume of a sphere with a radius of 3 inches?

Mathematics

2 answers:

Contact [7]2 years ago

4 0

Answer:

Step-by-step explanation:

Nezavi [6.7K]2 years ago

4 0

Answer: The answer is (C) 36π cubic inches.

Step-by-step explanation: We are given to find the volume of a sphere with radius 3 inches.

We know that the volume of a sphere with radius 'r' units is given by

$V=\dfrac{4}{3}\pi r^3.$

Here, we have,

radius, r = 3 inches.

Therefore, the volume of the sphere is given by

$V\\\\=\dfrac{4}{3}\pi r^3\\\\=\dfrac{4}{3}\pi \times 3^3\\\\=\dfrac{4}{3}\pi \times 27\\\\=36\pi~\textup{cubic inches}.$

Thus, (C) is the correct option.

You might be interested in

Perimeter of a triangle with side length of 13.9in,10.4,8.5in

AlladinOne [14]

Perimeter =a+b+c

13.9 + 10.4 + 8.5 =

32.8 in (perimeter)

6 0

2 years ago

Read 2 more answers

HELP ASAP!!

Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are same-side interior angles. Because AB and DC are parallel, the same-side interior angles must be supplementary by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.