All categories

2 years ago

What is the volume of a sphere with a radius of 3 inches?

Mathematics

1 answer:

Vilka [71]2 years ago

3 0

Answer:

36π cubic inches

Step-by-step explanation:

V = 4/3 πr³

radius (r): 3

= 4/3π(3)³

= 4/3π (27)

= 36π

You might be interested in

Which is it which is a better buy 10 lemons for $1.39 or 6 lemons for $0.79

aksik [14]

It would be best to buy 6 lemons for $0.79

7 0

3 years ago

Please answer I've got 10 mins

Likurg_2 [28]

Answer:

3(4n) + 2 + 6n

12n + 2 + 6n

12n + 6n + 2

18n + 2 is not equal to 13n + 2

hence both the expression are not equivalent

4 0

2 years ago

Find the area of a triangle with base 21 inches and the height 8 inches

ankoles [38]

Answer:

84in²

Step-by-step explanation:

this is very easy

6 0

1 year ago

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

3 years ago

Find the domain of the function

krok68 [10]

Answer:

Domain should be Df = {x>-1}

Step-by-step explanation:

Insert the g(x) into the x of f(x) function. Then let the denominator of the fg(x) = 0 (undefined). Find x.

4 0

3 years ago

Read 2 more answers