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Citrus2011 [14]

2 years ago

13

A drumstick ice cream cone is 4 inches in diameter and has a height of 7 inches and filled with ice cream. The cone also has a s

phere of ice cream that's 5 inches in diameter on top. What is the total amount of ice cream? Round to the nearest tenth.

1 answer:

Dovator [93]2 years ago

7 0

Answer:

48.7 cube inches

Step-by-step explanation:

Let us assume that the ice cream filled the entire volume of the cone.

Diameter of cone = 4 inches

height of cone = 7 inches

diameter of a sphere of ice cream = 5 inches

Total amount of ice cream = volume of cone + volume of sphere

volume of cone = $\frac{1}{3}$ $\pi$ $r^{2}$ h

r = $\frac{diameter}{2}$

= $\frac{4}{2}$ = 2 inches

volume of the cone = $\frac{1}{3}$ x $\frac{22}{7}$ x $2 ^{2}$ x 7

= $\frac{1}{3}$ x $\frac{22}{7}$ x 4 x 7

= 29.3333 cube inches

volume of sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

r = $\frac{diameter}{2}$

= $\frac{5}{2}$ = 2.5 inches

volume of sphere ice cream = $\frac{4}{3}$ x $\frac{22}{7}$ x $(\frac{5}{2} )^{3}$

= $\frac{4}{3}$ x $\frac{22}{7}$ x $\frac{125}{27}$

= 19.40 cube inches

So that,

Total amount of ice cream = 29.33 + 19.40

= 48.7 cube inches

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Answer:

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Step-by-step explanation:

Given that:

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$Q(x) = \frac{6}{-3x + 2}$

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Make both expressions as a single fraction by finding, the common denominator, divide the common denominator by each denominator, and then multiply by the numerator. You'd have the following below:

$\frac{2(-3x + 2) + 6(3x - 1)}{(3x - 1)(-3x + 2)}$

$\frac{-6x + 4 + 18x - 6}{(3x - 1)(-3x + 2)}$

$\frac{-6x + 18x + 4 - 6}{(3x - 1)(-3x + 2)}$

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$= \frac{2(6x - 1}{(3x - 1)(-3x + 2)}$

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viktelen [127]

Answer:

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Step-by-step explanation:

Hello!

To solve this question, we would first need to look at the data. In this data, there are people who chose their favorite sport, and the number of people who chose that response. In order to solve the problem, we would have to find the ratio of how many people choose baseball over the other sports.

By this, we can add the number of students together. 30+10+5+15=60. Out of those 60 students, only 5 people chose baseball.

Since the ratio of the people who chose baseball is 5/60 (meaning that it is a 5/60 % chance someone would pick this sport), we would need to find the amount of people assumed to pick baseball in 600 student survey.

We can make a relationship with these two numbers.

$\frac{5}{60} =\frac{x}{600}$ , since the ratio of the students who chose baseball remain the same.

You can see that the ratio on the denominators just add a zero on the bottom, so the top should add 0 as well, to get 50 for x, what we needed.

You can also solve that relationship by cross multiplication.

5(600)=x(60

3000=60x

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Regardless, the answer is 50 students who would choose baseball in a 600 persons survey.

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