Answer:
less than -1
less than -1
greater than 1
greater than 1
Step-by-step explanation:
Answer:40
Step-by-step explanation:
Answer:
y =
7
Step-by-step explanation:
if you mean y = |x + 12| then y = |-5 + 12| = |12 - 5| = |7| = 7
but, if you mean y = x + 12 then y = -5 + 12 = 12 - 5 = 7
The answer is 3.2. If you subtract 10.3 and 7.1, then you get 3.2.
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