All categories

3 years ago

What is the volume of a sphere with a diameter of 5 in? Round your answer to the nearest hundredth of a cubic inch.

Mathematics

1 answer:

Anettt [7]3 years ago

3 0

if the sphere has a diameter of 5, then its radius is half that, or 2.5.

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.5 \end{cases}\implies V=\cfrac{4\pi (2.5)^3}{3}\implies V=\cfrac{62.5\pi }{3} \\\\\\ V\approx 65.44984694978736\implies V=\stackrel{\textit{rounded up}}{65.45}$

You might be interested in

What measurement is equal to 6 kilometers

salantis [7]

Answer:

where is the options? or is any given.

Step-by-step explanation:

4 0

3 years ago

1.) If x varies directly as y and x = 35 when y = 7. What is the value of y when x = 25?

Fiesta28 [93]

Answer:

y = 5

Step-by-step explanation:

$x \ \alpha \ y$

$=> x = k \times y\\=> 35 = k \times 7\\=> k = 5$

$x = k \times y$

$=>25 = 5 \times y\\ =>5 = y$

8 0

3 years ago

Read 2 more answers

How do you solve this problem? I’m needing help

Romashka-Z-Leto [24]

F(6) means f times 6 so f6

6 0

3 years ago

Read 2 more answers

Which equation does the graph of the systems of equations solve?

mihalych1998 [28]

Answer:

$\text{B. }\frac{1}{3}x-3=-x+1$

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to $(x_1,y_1)$ and $(x_2, y_2)$ (doesn't matter which you assign) and use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let:

$(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)$

The slope is equal to:

$m=\frac{0-1}{1-0}=\frac{-1}{1}=-1$

Therefore, the slope of this line is -1. In slope-intercept form $y=mx+b$ , $m$ represents slope, so one of the lines must have a term with $-x$ in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

$(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)$

Using the slope formula:

$m=\frac{-2-(-3)}{3-0}=\frac{1}{3}$

Thus, the slope of the line is 1/3 and the other line must have a term with $\frac{1}{3}x$ in it, eliminating answer choice C and leaving the answer $\boxed{\text{B. }\frac{1}{3}x-3=-x+1}$

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into $y=mx+b$

7 0

3 years ago

A city is growing at the rate of 0.3% annually. If there were 3,278,000 residents in the city in 2015, find how many (to the nea

ss7ja [257]

The formula is
A=pe^rt
A ?
P 3,278,000
E constant, it equals 2.7
R 0.003
T 2,021−2,015=6 years

A=3,278,000×e^(0.003×6)
A=3,337,538

3 0

3 years ago

Read 2 more answers