All categories

2 years ago

Find the volume of a cone with a diameter of 12 m and a height of 5 m.

Mathematics

2 answers:

yaroslaw [1]2 years ago

7 0

Answer:

60 pi m3

Step-by-step explanation:

AnnZ [28]2 years ago

6 0

Answer:

60 $\pi$ m³

Step-by-step explanation:

Use the cone volume formula, V = $\pi$ r² $\frac{h}{3}$

If the diameter is 12 m, the radius will be 6 m.

Plug in the height and radius into the formula, and solve:

V = $\pi$ r² $\frac{h}{3}$

V = $\pi$ (6²) $\frac{5}{y}$

V = $\pi$ (36) $\frac{5}{3}$

V = 60 $\pi$

So, the volume of the cone is 60 $\pi$ m³

You might be interested in

A block of marble is in the shape of a rectangular prism. The block is 2 feet long. 3 feet wide, and 90 inches high. What is the

Degger [83]

Answer:

Volume of a rectangular prism can be found with the equation

v = length × width × height

They are trying to trip you up a little bit here because they give 2 measurements in feet then the last in inches. So for your prism...

18 inches = 1.5 ft

v = l×w×h

v = 3×2×1.5

v = 9 ft^3

4 0

2 years ago

Read 2 more answers

A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found tha

egoroff_w [7]

Answer:

Between 21 years and 75 years

Step-by-step explanation:

Given that a real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 48 years old, with a standard deviation of 9 years.

X the ages of home buyers is N(48, 9)

a) $30\leq x\leq 66\\|x-48|\leq 18\\|x-48|\leq 2\sigma$

Hence using Cheby chev inequality

$P(|x-48|\leq 2\sigma)\geq 1-\frac{1}{2^2} \\=0.75$

b) $25.5\leq x\leq 70.5\\|x-48|\leq 22.5\\|x-48|\leq 1.5\sigma$

$P(|x-48|\leq 1.5\sigma)\geq 1-\frac{1}{1.5^2} \\=0.556$

c) Using normal distribution we have

$P(|x-48|\leq 2\sigma)=0.95$

d) z value is 2.97

Hence x lies between

$(48-9*2.97, 49+9*2.97)\\=(21.27,74.73)$

Between 21 years and 75 years

4 0

3 years ago

ASAP WILL MARK BRAINLYEST TO FIRST PERSON WHO ANSWERS!!!

Flura [38]

15x + 7y + 45x + 22y
= 60x + 29y

answer
A. 60x + 29y

6 0

2 years ago

Two banks are running promotions on savings accounts in anticipation of higher interest rates in the future.

chubhunter [2.5K]

Answer:

<h2>First Federal Bank is best</h2>

Step-by-step explanation:

First national bank gives:

$5,449.03 after 4 years being compounded annually at a rate of 2.15%

First federal bank gives:

$5,468.12 after 4 years at a rate of 2.25%

Please let me know if I did anything wrong. I will immediately fix my mistakes :)

4 0

2 years ago

Determine whether the rule represents an exponential function. Explain why or why not.

Alenkasestr [34]

Answer:

Yes.

Step-by-step explanation:

Exponential Parent Function: $f(x)= a(b^{x})$

If we write out the equation:

$y = 6(5)^{x}$

Whenever we have an exponent of <em>x</em>, it is a exponential function. The 5 is simply the base of the exponent and the 6 means we are vertically stretching the graph by a factor of 6.

5 0

2 years ago