All categories

2 years ago

FIND THE VOLUME OF THE SPHERE

Mathematics

1 answer:

svp [43]2 years ago

4 0

Answer:

about 65.4 inches cubed

Step-by-step explanation:

The formula for the volume of a sphere is 4/3πr^3.

V = 4/3πr^3

= 4/3π(2.5^3)

= 20.83π = <u>about 65.4 inches cubed</u>

You might be interested in

Find a number if: 3/7 of it is 2 1/4

Sergeeva-Olga [200]

Answer:

x=5 1/4

Step-by-step explanation:

2 1/4= $\frac{9}{4}$ ---> $\frac{9}{4}$ divided by 3 to find 1/7x----> $\frac{3}{4}$ =1/7x---> x=21/4---> x=5 1/4

8 0

2 years ago

Read 2 more answers

Find the value of d.<br> 1/2d - 5 -1/4d = 10

Ksenya-84 [330]

D=60. multiply both sides of the equation by 4 since it’s a factor, giving you 2d-20-d=40. since there are like terms with d, collect them to get d-20=40 and move 20 to the right and change it’s sign. that will give you d=40+20, then calculate to get d=60. hope this helped! :)

6 0

2 years ago

Which choices are equivalent to the expression below? √14 x √10

Nataly [62]

Answer:

11.8321595662

Step-by-step explanation:

thats all I know

4 0

2 years ago

Read 2 more answers

A turtle can walk 1/12 of a kilometer in an hour. The turtle is 1/5 o a kilometer away from a pond. At this speed,how long will

eimsori [14]

Answer:

It will take 5/12 hours.

Step-by-step explanation:

Given,

The speed of turtle = $\frac{1}{12}$ km per hour,

Distance covered = $\frac{1}{5}$ km,

Since,

$Speed =\frac{Distance}{Time}$

$\implies Time =\frac{Distance}{Speed}$

Hence, the speed of turtle = $\frac{\text{1}{12}}{\frac{1}{5}}$

$=\frac{5}{12}$ hour.

7 0

2 years ago

Consider rolling two fair dice one 3-sided the other 5-sided

Ne4ueva [31]

Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

$1\leq x\leq 3,\quad 1\leq y \leq 5$

We have $P(X=x)=\frac{1}{3}$ and $P(Y=y)=\frac{1}{5}$ , because the dice are fair.

Now we use the assumption of independence to claim that

$P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}$

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

2 in a unique way (1+1)
3 in two possible ways (1+2, 2+1)
4 in three possible ways
5 in three possible ways
6 in three possible ways
7 in two possible ways
8 in a unique way

This implies that the probabilities of the outcomes of $W=X+Y$ are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5

8 0

2 years ago