All categories

3 years ago

PLEASE help me answer this question!!!!

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

Answer:

$\frac{77\pi }{3}$ cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³ ( r is the radius )

Here diameter = 4 cm , hence r = 4 ÷ 2 = 2 cm

V = $\frac{4}{3}$ π × 2³ = $\frac{4}{3}$ π × 8 = $\frac{32\pi }{3}$ cm³

Thus

combined volume = $\frac{32\pi }{3}$ + 15π = $\frac{32\pi }{3}$ + $\frac{45\pi }{3}$ = $\frac{77\pi }{3}$ cm³

You might be interested in

Solve.

abruzzese [7]

Answer:

$x=\frac{15}{4}=3\frac{3}{4}$

Equation:

$\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}$

<h3>Step-by-step solution</h3>

Linear equations with one unknown

_____________________________________

1. Group all constants on the right side of the equation

$\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}$

Subtract $5/6$ from both sides:

$\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}$

Reduce the zero numerator:

$\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}$

Simplify the arithmetic:

$\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}$

Find the lowest common denominator:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}$

Multiply the denominators:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}$

Multiply the numerators:

$\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x=\frac{20-5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x=\frac{15}{6}$

Find the greatest common factor of the numerator and denominator:

$\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}$

Factor out and cancel the greatest common factor:

$\frac{2}{3}\cdot x=\frac{5}{2}$

2. Isolate the x

$\frac{2}{3}\cdot x=\frac{5}{2}$

Multiply both sides by inverse fraction 3/2:

$\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}$

Group like terms:

$\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}$

Simplify the fraction:

$x=\frac{5}{2}\cdot \frac{3}{2}$

Multiply the fractions:

$x=\frac{5\cdot 3}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{4}$

______________________

Why learn this

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

__________________________

Terms and topics

Linear equations with one unknown

4 0

2 years ago

Lesson 6: Box-and-Whisker Plots Unit 5

Mekhanik [1.2K]

Answer:

GREATTTT HELPPPPPP

Step-by-step explanation:

5 0

3 years ago

A map is created on the coordinate plan, lori's house is located at ( -3, 7) and Andreas house is located at (-3,-4). Each unit

grin007 [14]

Answer: 2.2 miles.

Step-by-step explanation:

I guess that we want to find the distance between Lori's and Andrea's houses.

First, we have the locations:

L = (-3, 7)

A = (-3. -4)

To find the distance (in units) between two coordinate points (a1, a2) and (b1 b2) we can use the formula:

Distance = I (a1, a2) - (b1, b2)I = √( (a1 - b1)^2 + (a2 - b2)^2)

Then in this case we have that:

Distance = √( ( -3 -(-3))^2 + (7 - (-4))^2) = √( 0 + 11^2) = 11

The distance between their houses is 11 units.

And we know that each unit represents 0.2 miles, then 11 units represent 11 times that amount, the distance in miles will be:

D = 11*0.2 miles = 2.2 miles.

5 0

4 years ago

Hector wants to run 18 hours by first track meet .suppose he runs the same number of hours and week 2 and week 3 of his training

ratelena [41]

Answer : do 18x3 and that's your answer

8 0

3 years ago

Read 2 more answers

Y=-x-2<br> PLLLLZZZ ANSWER ASAPP

aalyn [17]

What do u want to do to it??

7 0

3 years ago

Read 2 more answers