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4 years ago

What is the volume of a sphere with a diameter of 2 1/2 inches

Mathematics

2 answers:

Alenkasestr [34]4 years ago

7 0

I think the answer is 6.5417in cubed, i am not sure

skelet666 [1.2K]4 years ago

4 0

The formula for volume of a sphere is:

$\frac{4}{3} \pi r^{3}$ where r is the radius

Since we are not given the radius, we can just cut the diameter in half, which is the equivalent.

We should end up getting a radius of 5/4

We now need to substitude 1.25 for r
$\frac{4}{3} \pi \frac{5}{4}^{3}$

$\frac{4}{3} \pi 125/64$

We can change this to 125/64 * 4/3 * π

Simplify further to get 125/16 * 1/3 * π (cross out the 4's)

Multiply and your final volume should be 125/48π in³

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Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p

dolphi86 [110]

The vector function is, r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, $z=9x^2+y^2$

Second equation is of the parabolic cylinder, $y=2x^2$

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder, $y=2t^2$ .

Now substituting x and y into the equation of the paraboloid, we get,

$z=9t^2+(2t^2)^2 = 9t^2+4t^4$

Now the vector function, r(t) = <x, y, z>

So r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Learn more about vector functions at brainly.com/question/28479805

#SPJ4

7 0

2 years ago

Help plzzz!!! I need this ASAP plzzzz...

gizmo_the_mogwai [7]

Lines m and n are parallel.

4 0

3 years ago

Read 2 more answers

At Webster Elementary School, of

Tcecarenko [31]

Answer:
8/12 of fifth graders at Webster are enrolled in
art camp

Step-by-step explanation:
Question: At Webster Elementary School, 4/6 of the fifth graders are enrolled in summer camps. Of the students enrolled in summer camps, 8/12 are enrolled in an art camp. What fraction of the fifth graders at Webster are enrolled in art camp?

Given:
4/6 of the fifth graders are enrolled in summer camps.
8/12 are enrolled in an art camp.

fraction of the fifth graders enrolled in art camp:
find common denominator, 4/6 x 2/2 = 8/12
8/12 = 4/6 which means all went to art camp

8 0

2 years ago

The shuttle bus from your parking lot and your office building operates on a 15 minute schedule. You arrive at the parking lot a

mylen [45]

Answer:

(a) The standard deviation of your waiting time is 4.33 minutes.

(b) The probability that you will have to wait more than 2 standard deviations is 0.4227.

Step-by-step explanation:

Let X = the waiting time for the bus at the parking lot.

The random variable X is uniformly distributed with parameters a = 0 to b = 15.

The probability density function of X is given as follows:

$f_{X}(x)=\frac{1}{b-a};\ a$