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Nezavi [6.7K]
2 years ago
15

A right circular cone has a radius of 6 inches and a volume of 180 cubic inches. What is the height of the cone? A. 5 in. B. 15

in. C. 25 in. D. 90 in.
Mathematics
1 answer:
dlinn [17]2 years ago
6 0

Answer:

A. 5 in.

Step-by-step explanation:

The formula for the volume of a cone is :

V= \pi  r^{2} \frac{h}{3}

so

180 in.^{3} = \pi * 6^{2}* \frac{h}{3}

180 in.^{3} = 3.14* 36* \frac{h}{3} \\180 in.^{3} = 113.04 * \frac{h}{3}\\3 * 180 in.^{3} = 113.04 * \frac{h}{3} * 3 \\\\\\\

540 / 113.04 = 113.04 h /113.04\\h = 4.8 in

When you round you get

h= a. 5 in.

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I believe it would be D

Step-by-step explanation:

Since it implies that if A is true, then B is true, it would be D.

"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.

Hence my choice of D.

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3 years ago
Sum of 2 numbers is 42, and their difference is 8. What are the numbers?​
Tems11 [23]

Answer:

25 , 17

Step-by-step explanation:

Let the unknown two numbers be x & y.

According to the question,

Sum of 2 numbers is 42.

x + y = 42  ⇒ ( 1 )

Their difference is 8.

x - y = 8 ⇒ ( 2 )

First let us find the value of x.

( 1 ) + ( 2 )

x + y + x - y = 42 + 8

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Divide both sides by 2.

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And now let us find the value of y.

x + y = 42

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y = 42 - 25

y = 17

Therefore, the two numbers are 25 , 17

Hope this helps you :-)

Let me know if you have any other questions :-)

8 0
3 years ago
Read 2 more answers
The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the number 859,463?
goblinko [34]

Answer:

1/10 times larger than 859,463

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A package weighs P pounds P being a whole number. to ship this package by express costs one dollar and sixty five cents for the
deff fn [24]
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Yuliya22 [10]

Answer:

First Step

Simplify —

2

Equation at the end of step

1

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((9•(x2))+4) 1 1

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STEP

2

:

1

Simplify —

3

Equation at the end of step

2

:

((9•(x2))+4) 1 1

————————————•x))—•x)-—)+1

12 (( 3 2

STEP

3

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