A gardener has a flower pot that he wants to fill with dirt. The flower pot has a radius of 8 cm at its opening and a radius of 7 cm at its base. The flower pot has a height of 10 cm.

Part A:
Provide an estimate for the amount of dirt, in cubic centimeters, that the gardener will need to completely fill the flower pot.

Part B:
Explain how you determined your answer.

Part A: The approximate volume of the frustum is [tex]1769cm^3[/tex].

Part B: How the answer was determined was to view the flower pot as a frustum of a cone, and apply the formula in calculating the volume of the flower-pot.

The flower pot has the shape of a conical frustum (See the attached image). The volume of the frustum is given by

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)[/tex]

where

[tex]y=\text{height of the frustum}=H-h=10cm\\R=\text{radius of larger cone}=8cm\\r=\text{radius of smaller cone}=7cm[/tex]

substituting the values of [tex]y[/tex], [tex]R[/tex] and [tex]r[/tex] into the frustum formula and using [tex]\pi\approx 3.14[/tex]

[tex]F = \frac{\pi y}{3}(R^2+Rr+r^2)\\\\=\frac{\pi\times 10 }{3}(8^2+8\times 7+7^2)\\\\=\frac{10\pi}{3}(64+56+49)\\\\=\frac{1690\pi}{3}\\\\\approx 1769cm^3[/tex]

the approximate volume of the frustum is [tex]1769cm^3[/tex]

Learn more about the volume of a frustum here: https://brainly.com/question/14177094

I put the Question here #1

If the measure of one angle of an isosceles triangle is 60degree then the triangle is

help please???????????​

When a basketball player makes a trip to the free throw line, he takes two consecutive shots. It is often
wondered whether these two shots are independent or dependent does the probability of making the
second free throw depend on whether a player makes the first free throw?
After analyzing data for Lebron James, statisticians determined that his first and second free throws are
entirely independent events. The frequency table below shows the data that analysts used to determine this
independence.
Fill in the missing values from the frequency table.

A circle has a radius of 10 ft. What is its circumference?
Use 3.14 for Ti, and do not round your answer. Be sure to include the correct unit in your answer.

TI
Assessment
Vhich table of values can be used to graph the function y = - 4x +3?
x
y
-1
-1
0
3
1
7
2
11
X
y
3
O
-1
-9
-1
7
1
3
15
x
0
1
3
-1
-5
-9
2
3
3
X
Y
3
7
11
15
3
or False
function's graph may include solutions that do not appear in its table of

If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years? Help ASAP I’ll give so much points!

If f(x) = â’2 8, what is f(â’1. 8)? 4 6 10 12.

i was wondering if u convert 38 inches to centimeters what would it be i told my teacher there is no correct answer for it

if f(x) = 2x^ 2 + 3x,then what is f(−9)?

A circle has a radius of 6. 87 feet. What is the circumference of this circle? Use 3. 14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box.

A quadrilateral has two angles that measure 200 and 30°. The other two angles are in a
ratio of 6:7. What are the measures of those two angles?

someone solve asap whats the answer for this

Determine if the relation below is a function.

(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)

Group of answer choices

Yes, this relation is a function.

No, this relation is not a function.

a train is leaving the station and goes from 3m/s to 30 m/s in 12 s. The acceleration of the train is

estimate the area of the following irregular shapes

​

if I was 14 in 1947 then how old am I?

mr.wilson drives 450 miles in 7 hours. at this rate about how many miles does he drive in 6 hours????
A.) 101
B.) 254
C.) 340
D.) 386

PLEASE HELP ASAPP!!!! I’LL GIVE BRAINLIEST!! PLEASE HELP QUICKLY!


1. A pet store purchases dog food from a supplier in the local community for $20 per bag. If the store adds a 10% markup to the dog food, how much will a customer have to pay for a bag?


2. Jimmy's shop recently imported a new PlayStation game. The game originally cost $25, and for the company to make a profit they sell the game with the price increased by 40%. How much do they sell the game for?

What is the perimeter?

6 yards
8 yards
4 yards

In Khan academy int he 8th grade section "Geometric transformation" in the section "Properties & definitions of transformations" how are you supposed to do this?

a joker cap is in the form of a right circular cone of base radius 10.5cm and height 36cm. find the area of sheet to make 20 such caps....?

plz answer this

What are the different ways to choose the tens digit, B, in the number 76581B2, so that the number will be divisible by 4? Explain your reasoning.

Which of the following is a true statement?
A. A number is divisible by two and three if the number ends in a 0, 2, 4, 6, or 8.
B. A number is divisible by three and nine if the sum of the digits is divisible by three.
C. A number is divisible by nine if the last two digits are divisibly by nine.
D. A number is divisible by six if the number is divisible by both two and three.

How is solving −7x = −10.5 different from solving − 1 7 x = −10.5? How are the solutions related? Complete the explanation.

Write the percent as a fraction or mixed number in simplest form.
72.5%

Please show your work. Thank you!

Activity
In this activity, you will use a table of coordinate points to determine whether a function is linear or nonlinear. Billy hit a baseball to the bottom of
the outfield wall. The table gives points in the function representing the helght of the baseball in terms of the horizontal distance traveled by the
ball. Help Billy find whether this function is linear or nonlinear.
03
150 78
300 3
The value of x represents the horizontal distance traveled by the baseball, and the value of y represents the height of the ball from the ground.
-Part A
To determine whether a function is linear or nonlinear, check whether the rate of change is constant for every pair of coordinates. What is the rate
change in y, for the first two pairs of coordinates?
of change, change in

d.One rectangle weighs what

What is the greatest common factor of 31 and 45?

Tisha scored an average of 18 points in each of her first five basktetball
games. Altogether, how many points did she score in her first five
games?