Answer:
689 ft
Step-by-step explanation:
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder =
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
<em>Using the volume formula of a cylinder</em>
The formula goes thus
Substitute 21 for V; this gives
Divide both sides by h
The next step is to solve for the volume of the sphere using the following formula;
Divide both sides by r
Expand Expression
Substitute
Multiply both sided by r
------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
, where D represents diameter of the sphere
Recall that
So,
Substitute 2r for h in equation 1
Hence, the volume of the sphere is 14m³
Female students that participate: 51
male students that don’t: 30
4x40= 160
6x40= 240
160/12= 13.33
240/12= 20
13.33x20= 266.6
The answer is 266.6 square feet
Answer:
Step-by-step explanation:
Let f(x) be the polynomial function of minimum degree with real coefficients whose zeros are 5, -3, and -1 + 3i be f(x).
By the complex conjugate property of polynomials, -1-3i is also a root of this polynomial.
Therefore the polynomial in factored form is
We expand to get:
We expand further to get:\