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aleksandr82 [10.1K]

3 years ago

13

A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone i

s equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?

1 answer:

wolverine [178]3 years ago

6 0

R = radius of cone
2r = radius of cylinder
Then height of cone is 2r.
Volume of Cone is Pi * r^2 * 2r = 2Pi*r^3

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Karo-lina-s [1.5K]

$\text{The scientific notation:}\\\\a\times10^n\\\\1\leq a$

$a.\\(5\times10^3)\times(3.5\times10^{-1})=(5\times3.5)\times(10^3\times10^{-1})\\\\=15.75\times10^{3+(-1)}=15.75\times10^2=1.575\times10\times10^2\\\\=1.575\times10^{1+2}=\boxed{1.575\times10^3}$

$b.\\(8\times10^2)\div(4\times10^3)=(8\div4)\times(10^2\div10^3)=2\times10^{2-3}\\\\=\boxed{2\times10^{-1}}$

$c.\\(6\times10^{-3})^2=6^2\times(10^{-3})^2=36\times10^{-3\cdot2}=36\times10^{-6}=3.6\times10\times10^{-6}\\\\=3.6\times10^{1+(-6)}=\boxed{3.6\times10^{-5}}$

$Used:\\\\a^n\times a^m=a^{n+m}\\\\a^n\div a^m=a^{n-m}\\\\(a^n)^m=a^{n\cdot m}$

5 0

3 years ago

Given x∥y and m∠2=23° .<br><br> What is m∠7?<br><br> Enter your answer in the box.

malfutka [58]

Answer:

angle2=23°

angle7=angle5

angle2=angle6

so,angle8=23°

total angle = 180°

angle7=180°-46°=134°÷2=67°

3 0

3 years ago

Choose the graph below that meets all three of the following requirements:

zmey [24]

Answer:

Your answer would be D

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Function f is shown on the graph

Natali [406]

Answer:

Option A, (-4, -1)

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6 0

2 years ago

How many yards are there in 1260 feet? A. 105 yards B. 210 yards C. 3780 yards D. 420 yards

frez [133]

The answer is D. 420 yards because 1yd. = 3 ft. 1260 divided by three = 420

7 0

3 years ago