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atroni [7]
2 years ago
5

A cylinder has a radius of 3 cm. Sand is poured into the cylinder to form a layer 2 cm deep. What is the volume of sand in the c

ylinder?.
Mathematics
1 answer:
netineya [11]2 years ago
3 0

Answer:

Volume=56.54cm³

Step-by-step explanation:

Solution,\\\\Radius(r)=3cm\\\\Height(h)=2cm\\\\Now,\\\\Volume=\pi r^{2} h\\\\Volume=\pi *(3cm)^{2} *2cm\\\\Volume=18\pi cm^{3} =56.54cm^{3}

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Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
yaroslaw [1]

Answer:

10.4 miles

Step-by-step explanation:

Write an equation for the total cost paid as a function of the # of miles driven:

L(x) = $6.75 + ($3.20/mile)x

and set this equal to $40.03 to determine the # of miles Lupita rode:

L(x) = $6.75 + ($3.20/mile)x = $40.03

Isolate the x term by subtracting $6.75 from both sides:

($3.20/mile)x = $40.03 - $6.75 = $33.28

Finally, divide both sides by  ($3.20/mile):

x = $33.28 /  ($3.20/mile)

  =  10.4 miles

Lupita rode 10.4 miles in the taxi.

4 0
4 years ago
Evaluate the integral Find the volume of material remaining in a hemisphere of radius 2 after a cylindrical hole ofradius 1 is d
algol13

You want to find the volume inside the hemisphere x^2+y^2+z^2=4 (i.e. inside the sphere but above the plane z=0) and outside the cylinder x^2+y^2=1. Call this region R.

In cylindrical coordinates, we have

\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_1^2\int_0^{\sqrt{4-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta

\displaystyle=2\pi\int_1^2 r\sqrt{4-r^2}\,\mathrm dr

\displaystyle=-\pi\int_3^0\sqrt u\,\mathrm du

(where u=4-r^2)

\displaystyle=\pi\int_0^3\sqrt u\,\mathrm du

=\dfrac{2\pi}3u^{3/2}\bigg|_0^3=2\sqrt3\,\pi

7 0
4 years ago
Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
jarptica [38.1K]

\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}

x = 2

<em>right</em><em> </em><em>option</em><em> </em><em>is</em><em> </em>(E).

Step-by-step explanation:

f(x) = x³ - 3x² + 12 in interval [-2, 4]

{taking f'(x) by doing derivative of f(x)}

f'(x) = 3x² - 6x

.•. f'(x) = 0

0 = 3x² - 6x

0 = 3x(x - 2)

0 = x - 2

x = 2

4 0
2 years ago
Read 2 more answers
Jgvgvgvqvgsvgcqsccdvg
kupik [55]

Answer:

the first thing you do is 50,000 ×3% x1 and multiple it with the percent sign then it will give you 1,500

4 0
3 years ago
Answer plz?!?! and explanation plz?!?
jenyasd209 [6]

Answer:

d

Step-by-step explanation:

Radius = 4

area:

4x4x3.14x12=602.88

8 0
3 years ago
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