Answer: 30 cm
Step-by-step explanation:
The volume of the composite solid is 17000 cm³. To find h, we must first subtract the volume of the half cylinder from the composite volume.
From the figure, AE = MK, and so the radius of the half cylinder is 10cm. The volume of the half cylinder is thus
the volume of a cylinder. The volume of a cylinder is πr²h. So a half cylinder is 1/2 πr²h. This gives us a volume of
.
Thus, the volume of the right prism is 17000cm³ - 4400cm³ = 12600cm³. Consider the cross-section ABKJ. If we multiply this by AE, we'll have the volume of the right prism.
The ABKJ is a trapezoid so it's area is
. Thus the volume of the right prism is
. This gives us
, and thus h = 30 cm.
Answer:
B. 5/6
Step-by-step explanation:
5 divided by 6 equals .8333.
Answer:
-6-(-2) is equivalent to
-6 +2
and 2-6
a) and b) are correct options
The answer to this question is z=-5
Answer:
I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729
Step-by-step explanation:
each number is being multiplied by a factor of (-3).