29.?? + 1.4 2. ??.4 1
1 answer:
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Answer:
72 cubic inches
Step-by-step explanation:
Volume of cone = --1
Volume of cylinder = --2
We are given that a cylinder should fit exactly inside the cone
On comparing 1 and 2 we can see:
Since we are given the volume of cone is 24 cubic inches .
So,
Hence the volume of cylinder is 72 cubic inches
Option D is correct.
Answer:
16.51
Step-by-step explanation:
In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.
The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:
39 + 39 + x + x = 360
78 + 2x = 360
2x = 282
x = 141
This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.
Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:
Thus the shorter diagonal will be 16.51 feet in measure.
