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Nata [24]
3 years ago
9

A cone-shaped pile of sawdust has a base diameter of 20 feet, and is 7 feet tall. Find the volume of the pile.

Mathematics
2 answers:
Phoenix [80]3 years ago
7 0

Answer:

About 733.04 feet


Step-by-step explanation:

Volume of Cone is given by the formula  V=\frac{1}{3}\pi r^2h

Where

  • V is the volume
  • r is the radius
  • h is the height

Given height as 7 ft, and radius is 10 feet (Radius is half of diameter(20))

<em>Substituting into formula, we get:</em>

V=\frac{1}{3}\pi r^2 h\\V=\frac{1}{3}\pi (10)^2(7)\\V=\frac{700\pi}{3}\\V=733.04 ft

alexgriva [62]3 years ago
3 0

<u>Answer:</u>

733.04 feet^3

<u>Step-by-step explanation:</u>

We are given the base diameter of a cone shapes pile and with its height and we are to find its volume.

We know the formula for the volume of the cone:

<em>Volume of a cone = \pi r ^ 2 \frac {h} {3}</em>

So substituting the given values in it.

Volume of cone-shaped pile = \pi (10)^2\frac{7}{3} = 733.04 feet^3.

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3 years ago
Ellen is opening. Cookie shop eat a local middle school . She randomly surgery’s students to determine The types of cookies they
saw5 [17]

Complete Question:

Ellen is opening. Cookie shop eat a local middle school . She randomly surveys students to determine The types of cookies they would buy at the cookie shop the results of the surveys are below based on the survey. Which statement is not true?

A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.

B) 22½% of the students surveyed would buy a sugar cookie.

C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.

D) Half of the students prefer chocolate chips or oatmeal raisin cookies.

(Table showing the results of her survey is in the attachment below)

Answer:

A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.

Step-by-step Explanation:

STEP 1:

In order to ascertain which of the statements given in the options that is NOT TRUE, let's express the given number of students that would buy the different types of cookies in their PROPORTIONS AND PERCENTAGES in the survey result.

Thus:

Type of Cookie==> no of students => Proportion (no of students of a cookie type ÷ total no of students) => % (each proportion for a cookie type)

Chocolate Chip==> 25 => 0.3125 (25÷80) => 31.25% (0.3125 × 100)

Oatmeal Raisin==> 15 => 0.1875 (15÷850) => 18.75% (0.1875 × 100)

Peanut Butter== 22 => 0.275 (22÷80) => 27.5% (0.275 × 100)

Sugar ==> 18 => 0.225 (18÷80) => 22.5% (0.225 × 100)

STEP 2:

Next step is to consider each statement given in the question to see if they are true or not.

==>OPTION A: If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.

To find out if this is true, multiply the proportion of students who would be buy a sugar cookie (0.255) by 160 = 0.255 × 160 = 36.

If 160 buy a cookie, approximately 36 students would buy a sugar.

Option A IS NOT TRUE.

OPTION B: 22½% of the students surveyed would buy a sugar cookie.

From our calculation in STEP 2, we have:

Sugar ==> 18 => 0.225 (18÷80) => 22.5% (0.225 × 100).

Option B is TRUE. 22.5% of the students would go for sugar cookie.

OPTION C: If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.

Number of students that would buy the peanut butter if 240 students were to get a cookie = proportion of students that opt for peanut butter cookie in the survey (0.275) × 240 = 0.275 × 240 = 66.

Option C is TRUE.

OPTION D: D) Half of the students prefer chocolate chips or oatmeal raisin cookies.

Proportion of students who prefer chocolate chips or oatmeal raisin cookies = 0.3125 + 0.1785 = 0.491

This is approximately 0.5 = ½ of the total number of students.

Option D is TRUE.

Therefore, we can conclude that the statement, "A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie" is NOT TRUE.

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