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3 years ago

How do I find the surface area of a right circular cone?

1 answer:

8 0

Greetings!

"How do I find the surface area of a right circular cone?"...

The formula to find the surface area of a right cone is :
$=\pi r(r+ \sqrt h^2+r^2)$

Lets it out:
$r=5$ and $h=12$

$=\pi(5)((5)+ \sqrt (12)^2+(5)^2)$
Follow PEDMAS.
$=\pi(5)((5)+ \sqrt 169)$
$=\pi(5)((5)+ 13)$
$=\pi(5)(18)$
$=15.7079633(18)$
$=282.743339$

The SA of the cone would be 282.743339.

Hope this helps.
-Benjamin

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The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeter

Nostrana [21]

Answer:

Part a) The volume of the original pyramid is $15\ cm^{3}$

Part b) The volume of the pyramid increases by $6\ cm^{3}$

Step-by-step explanation:

The complete question is

Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base

h is the height of pyramid

see the attached figure to better understand the problem

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

$B=3^{2}=9\ cm^{2}\\h=5\ cm$

substitute

$V=\frac{1}{3}(9)(5)=15\ cm^{3}$

Step 2

Find the volume of the new pyramid

$B=9\ cm^{2}$ -------> the area of the base is the same

$h=5+2=7\ cm$ ------> the height increase by

substitute

$V=\frac{1}{3}(9)(7)=21\ cm^{3}$

Subtract the original volume from the new volume

$21\ cm^{3}-15\ cm^{3}=6\ cm^{3}$

5 0

3 years ago

A city's population is increasing at a rate of 2% per year.

Mariana [72]

Based on the information the number of people that will there after 20 years is: d.) 2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.) 2.97 million.

Learn more about population here:brainly.com/question/25630111

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2 years ago

What value(s) for n will make this expression true?

exis [7]

Answer:

The answer is option 4.

Step-by-step explanation:

As there is a Modulus sign so the answer will be always positive.

e.g

|1.2| = 1.2

|-5.6| = 5.6 (always interested in the positive value)

6 0

3 years ago

Read 2 more answers

Josie is training for a race. The ratio of

anzhelika [568]

The number of minutes that Josie will take is 80 minutes.

Explanation:

Explanation:

Ratio of the number of minutes to the number of miles = $\frac{24}{3}$

Number of miles = 10

Number of minutes = ?

Let x be the number of minutes

According to the question,

$\frac{24}{3} = \frac{x}{10} \\\\x = \frac{240}{3} \\\\x = 80$

Therefore, the number of minutes that Josie will take is 80 minutes.

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3 years ago

Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)

Rama09 [41]

A= 3
b= 4

=3.14(a^2 + ab)
substitute the given a & b values in expression

=3.14((3)^2 + (3*4))
multiply inside parentheses

=3.14(9 + 12)
add inside parentheses

=3.14(21)
multiply

=65.94

ANSWER: 65.94

Hope this helps! :)

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3 years ago