Answer:
Option B is not a justification
Step-by-step explanation:
Option A is a justification (to get two pair of similar triangles (ABC-ACD) and (ABC-BCD))
Option C is a justification (a^2 = cy, b^2 = cx, a^2 + b^2 = cy + cx)
Option D is a justification (a^2 + b^2 = cy + cx = c(y + x) = c^2)
=> Option B is not a justification
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
The answer is true. 1/9 = 0.111111......
Answer:
The 1st, 3rd, and the 4th