To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.
The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2
The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
=216 ft^2
Subtract 75.4 from 216
216-75.4=140.6
There is 140.6 cubic feet of concrete left in the block.
Divide both sides by 2.
2/5
:)
The value of x in given angles is 36°
<h3>What are supplementary angles?</h3>
When the sum of two angles is 180°, then they are said to be supplements of each other.
Given are two angles which are supplements of each other,
Then according to definition of supplementary angles,
m∠A+m∠B = 180°
(2x − 27)°+(3x + 27)° = 180°
2x+3x = 180°
5x = 180°
x = 180°/5
x = 36°
Hence, The value of x in given angles is 36°
For more references on supplementary angles, click;
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