Ask question

Ask question

All categories

1 year ago

11

A cone has a height of 8 yards and a radius of 3 yards. What is its volume?

1 answer:

alina1380 [7]1 year ago

7 0

<h3>Given:</h3>

h= 8 yd
r= 3 yd

<h3>Note that:</h3>

h= Height
r= Radius

<h3>To find:</h3>

The volume of the given cone.

<h3>Solution:</h3>

$\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}$

$\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}$

Let's solve!

Substitute the values according to the formula.

$V= \frac{1}{3}×3.14×{3}^{2}×8$

$\large\boxed{V= 75.36 \: {yd}^{3}}$

<u>Therefore, the volume of the given cone is 75.36 cubic yards.</u>

You might be interested in

Is the answer yes or no tell me please ?

diamong [38]

Answer:

Yes.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve the inequality 3x - 5 < 4.

lbvjy [14]

<span>3x - 5 < 4.

Add 5 to both sides,
3x < 9

Divide 3 from both sides,
x < 3

Hope this helps!</span>

6 0

2 years ago

Read 2 more answers

A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a

Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A study indicates that 62% of students have have a laptop.

This means that $n = 0.62$

You randomly sample 8 students.

This means that $n = 8$

Find the probability that between 4 and 6 (including endpoints) have a laptop.

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157$

$P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815$

$P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297$

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269$

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0

3 years ago

Tanya is training a turtle for a turtle race. For every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile

Oxana [17]

The unit rate with the turtle crawling is 6/23 mile per hour.

According to the statement

we have given that the every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile. and

we have to find the unit rate with the turtle crawling

So, For this purpose,

we know that the

The unit rate of speed in miles per hour the number of miles in one hour.

So, to find the unit rate:

Divide distance in miles with the time which is in hours.

So,

unit rate of speed = distance / time

unit rate of speed = (2/23) / (1/3)

unit rate of speed = 6/23 mile per hour.

So, The unit rate with the turtle crawling is 6/23 mile per hour.

Learn more about unit rate here

brainly.com/question/4895463

#SPJ1

8 0

11 months ago

Henry has 12 diamonds of the same shape and size in a bowl.how many diamonds represent 3/4 of the bowl

zhuklara [117]

Answer:

9

Step-by-step explanation:

12 divided by 4=3 3X3=9

7 0

3 years ago