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leonid [27]
3 years ago
10

A cone and its dimensions are shown in the diagram. What is the volume of the cone in cubic inches?

Mathematics
1 answer:
Vinvika [58]3 years ago
4 0

Answer:

The exact value of the volume is equal to

V=19\frac{397}{512}\pi\ in^{3}

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

D=5\frac{5}{8}\ in

convert to an improper fraction

D=5\frac{5}{8}\ in=\frac{5*8+5}{8}=\frac{45}{8}\ in

r=(45/8)/2=\frac{45}{16}\ in

h=7\frac{1}{2}\ in=\frac{7*2+1}{2}=\frac{15}{2}\ in

substitute in the formula of volume

V=\frac{1}{3}\pi (\frac{45}{16}^{2})(\frac{15}{2})=\frac{30,375}{1,536}\pi\ in^{3}

Simplify  

\frac{30,375}{1,536}=\frac{29,184}{1,536}+\frac{1,191}{1,536}=19\frac{397}{512}

substitute

V=19\frac{397}{512}\pi\ in^{3}

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At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?
kati45 [8]

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

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3 years ago
Write the following in the ratio form a) 0.5 b) 0.6 c) 1.25 d) 3.4​
alex41 [277]

Answer:

A) 1:2

B) 3:5

C) 5:4

D) 17:5

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction

Step 2) Multiply the numerator and denominator by 10 to eliminate the decimal point.

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF)

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon

Heres an example. I'll do the last one.

3.4 = 3.4/1

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2 years ago
the sum of the three number is 92. the third is 3 times the first, the first number is 7 less than the second. what are the numb
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Solve x = y - 7 for y.
x = y - 7
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Fill in y and z so that we only have to worry about x for now.

x + y + z = 92
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Solve for y. 
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y = (17) + 7
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Solve for z.
z = 3x
z = 3(17)
z = 51

So x = 17, y = 24, and z = 51. 
8 0
3 years ago
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