Answer:
Step-by-step explanation:
The relevant relations are ...
- an arc has the same measure as the central angle it subtends
- angles of a linear pair are supplementary (total 180°)
- an inscribed angle has half the measure of the arc it subtends
- the total of arcs of a circle is 360°; of a semicircle, 180°
__
arc CB has the measure of central angle COB: 64°
angle AOC is the supplement of angle COB: 180° -64° = 116°
arc AD is twice the measure of inscribed angle ABD: 2×13° = 26°
arc DFB is the supplement of arc AD: 180° -26° = 154°
angle CDB is half the measure of arc CB: 64°/2 = 32°
we are given
number of cubes in bottom is 3*16=18
we can see that
number of layers is 8
now, we can find total number of cubes
total number of cubes = number of layers*number of cubes in bottom
so, we get
total number of cubes = 8*18
total number of cubes is 144
so, option-C..........Answer
The answer you are looking for is B and C
Answer: 97.6 in3
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the cylinder and subtract the volume of the cone:
Volume of a cylinder: π (diameter /2) ^2 (height)
Vcy = π (4 /2) ^2 (8) = π (2) ^2 (8) =100.5 in3
Volume of a cone = 1/3 π (diameter /2) ^2 (height)
V Co = 1/3 π (4/2) ^2 (0.7) = 1/3 π (2) ^2 (0.7) = 2.9 in3
Finally:
Volume of the cylinder - volume of the cone = 100.5-2.9 = 97.6 in3
Feel free to ask for more if needed or if you did not understand something.