Mathematics, 06.11.2019 17:31 Tanya120

Find the diameter of a cone that has a volume of 29.31 cubic inches and a height of 7 inches. use 3.14 for pi.. 4 inches. 2 inches. 8 inches. 6 inches

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Answer from: willwhitlock803

First option.

Step-by-step explanation:

The formula that is used to calculate the volume of a cone is:

$V=\frac{1}{3}\pi r^2h$

Where "V" is the volume, "r" is the radius and "h" is the height.

In this case we know that we must used 3.14 for $\pi$ , and:

$V=29.31\ in^3\\\\h=7\ in$

Then, we can substitute values into the formula:

$29.31=\frac{1}{3}(3.14)r^2(7)$

Now we must solve for "r":

$29.31=\frac{1}{3}(3.14)r^2(7)\\\\\frac{3(29.31)}{(3.14)(7)}=r^2\\\\\sqrt{\frac{3(29.31)}{(3.14)(7)}}=r\\\\r=2\ in$

Since the diameter is twice the radius, we get that the diameter of the cone is:

$d=2(2\ in)\\\\d=4\ in$

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

$\text{simple interest} = \frac{principal\times rate\times time}{100} \\\\\text{simple interest} = \frac{1000\times 4\times 10}{100}=\$400\\\\amount = principal + interest\\amount = 1000 + 400 = \$1400$

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

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Find the diameter of a cone that has a volume of 29.31 cubic inches and a height of 7 inches. use 3....