What is the exact volume of this cone?

Mathematics

1 answer:

Studentka2010 [4]2 years ago

5 0

Answer:

(b) 80/3π in³

Step-by-step explanation:

The volume of a circular cone is given by ...

V = 1/3πr²h . . where r is the radius (half the diameter) and h is the height

Your cone has r = 4 inches and h = 5 inches, so its volume is ...

V = (1/3)π(4 in)²(5 in) = 80/3π in³

The volume of the cone is exactly (80/3)π cubic inches.

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Solve <br><br> 10/r > 1; r = 5

KiRa [710]

Answer:

10/5 = 2

so its 2>1

Step-by-step explanation:

6 0

3 years ago

How do I explain 1.82 divided by 140.14

denpristay [2]

Answer:

0.012987...(6-digit repeat)

Step-by-step explanation:

You explain it the same way you explain any division of decimal numbers.

The usual procedure is to adjust both numbers so that the divisor is an integer. Here, that is accomplished by multiplying each number by 100. This makes the problem ...

1.82/140.14 = 182/14014

Now, division proceeds in the usual way. The first non-zero quotient digit will appear in the hundredths place. The quotient is a repeating decimal with a 6-digit repeat. You recognize the repeat as soon as you see 182 as a remainder.

<em>Additional comment</em>

The ratio reduces to ...

$\dfrac{1.82}{140.14}=\dfrac{182}{14014}=\dfrac{1}{77}=0.\overline{012987}$