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3 years ago

Which is the correct formula to calculate the volume of a sphere?

1 answer:

3 0

The volume for a sphere is 4/3Pi(r^3), or
4/3 • 3.14 (Pi estimated) • (r • r • r).

Pi is 3.14 estimated, and r is the radius (from a curve to the midpoint of a circle).

I hope this helps!

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What is the volume of this cone?

dlinn [17]

Answer:

167.46

Step-by-step explanation:

$V=\frac{1}{3} X \pi r^{2} X h$

$\frac{1}{3} x 3.14 x 4^{2} x10$

$\frac{1}{3} X 50.24x 10$

$\frac{1}{3} x 502.4$

$V=167.46$

3 0

3 years ago

(x – 2) = –14(x – 8)

muminat

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x = 38/5

Decimal Form:

x = 7.6

Mixed Number Form:

x = 7/3/5

7 0

2 years ago

Hello If you are reading this you are indeed very cool and you do not deserve a BAD TIME indeed you deserve a GOOD TIME so here

bixtya [17]

Answer:

Oh if I could hug you

Step-by-step explanation:

tysm you are the best!

8 0

3 years ago

3^x= 3*2^x solve this equation

kompoz [17]

In the equation

$3^x = 3\cdot 2^x$

divide both sides by $2^x$ to get

$\dfrac{3^x}{2^x} = 3 \cdot \dfrac{2^x}{2^x} \\\\ \implies \left(\dfrac32\right)^x = 3$

Take the base-3/2 logarithm of both sides:

$\log_{3/2}\left(\dfrac32\right)^x = \log_{3/2}(3) \\\\ \implies x \log_{3/2}\left(\dfrac 32\right) = \log_{3/2}(3) \\\\ \implies \boxed{x = \log_{3/2}(3)}$

Alternatively, you can divide both sides by $3^x$ :

$\dfrac{3^x}{3^x} = \dfrac{3\cdot 2^x}{3^x} \\\\ \implies 1 = 3 \cdot\left(\dfrac23\right)^x \\\\ \implies \left(\dfrac23\right)^x = \dfrac13$

Then take the base-2/3 logarith of both sides to get

$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

(Both answers are equivalent)

8 0

2 years ago

What is the distance between the points (4, 7) <br> and (4, -5)

damaskus [11]

The answer should be 12

4 0

3 years ago

Read 2 more answers