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3 years ago

A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?

Mathematics

1 answer:

OleMash [197]3 years ago

6 0

Answer:

The volume of the cone is $26\ cm^{3}$

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2}h$

In this problem we have that

$V=78\ cm^{3}$

$78=\pi r^{2}h$ -----> equation A

The volume of a cone with the same radius and height is equal to

$V=\frac{1}{3}(\pi r^{2}h)$ -----> equation B

Substitute equation A in equation B

$V=\frac{1}{3}(78)$

$V=26\ cm^{3}$

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Artemon [7]

Answer:

$\sqrt{125}$

Step-by-step explanation:

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2 years ago

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I have a few questions!<br> a) x−1.27=4.09<br> b) 2.3−y=2.301<br> c) t+3.04=14.3<br> d) 1.1+k=5.67

maks197457 [2]

Answer:

a.) x = 5.36

b.) y = - 0.001

c.) t = 11.26

d.) k = 4.57

Step-by-step explanation:

a) x−1.27=4.09

b) 2.3−y=2.301

c) t+3.04=14.3

d) 1.1+k=5.67

Solving. right?

a.) x = 4.09 + 1.27 = 5.36

b.) y = 2.3 - 2.301 = - 0.001

c.) t = 14.3 - 3.04 = 11.26

d.) k = 5.67 - 1.1 = 4.57

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2 years ago

If f(x) = 4(3x - 5), find f-1(x)

deff fn [24]

Answer:

$f^{-1}(x) = \frac{1}{12}(x+20)$

Step-by-step explanation:

Given: f(x) = 4(3x - 5)

Is required to find f⁻¹(x)

f(x) = y = 4(3x - 5)

∴ y = 4 * 3x - 4 * 5

∴ y = 12x - 20 ⇒ add 20 to both sides

∴ y + 20 = 12x ⇒ divide both sides by 12

∴ $\frac{1}{12} (y+20) = x$

Replace the places of x and y.

∴ $y=\frac{1}{12} (x+20)$

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3 years ago

A professor has 24 pairs of socks in his drawer. 18 pairs are black and the rest are brown. He always wears black pants. He does

lesya692 [45]

Answer:

The likelihood that the professor's socks matched his pants on both days is 0.5625

Step-by-step explanation:

Total no. of pair of socks = 24

No. of black pairs = 18

We are given that he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.

So, It is a case of replacement

He always wears black pants.

We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.

So ,Probability of wearing black socks on Monday = $\frac{18}{24}$

So ,Probability of wearing black socks on Tuesday = $\frac{18}{24}$

So,the likelihood that the professor's socks matched his pants on both days = $\frac{18}{24} \times \frac{18}{24}=0.5625$

Hence the likelihood that the professor's socks matched his pants on both days is 0.5625

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2 years ago

The original price of a stove is $570.00. If it has a 25% discount, find the selling price. *

Rom4ik [11]

Answer:

$357.50

Step-by-step explanation:

25%×570.00

(25/100)×570.00

= $142.50

S.P= O.P-D.P

= (570.00-142.50)$

= $357.5

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2 years ago

A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?​

A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?