Afarmer wants to build a new grain silo. the shape of the silo is to be a cylinder with a hemisphere on the top, where the radius of the hemisphere is to be the same length as the radius of the base of the cylinder. the farmer would like the height of the silo’s cylinder portion to be 4 times the diameter of the base of the cylinder. what should the radius of the silo be if the silo is to hold 35,500pie cubic feet of grain?

Step-by-step explanation:

we know that

The volume of the silo is equal to the volume of a cylinder plus the volume of a hemisphere

so

In this problem we have

----> 4 times the diameter is equal to 8 times the radius

substitute in the formula and solve for r

Simplify pi

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

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so

step-by-step explanation:

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