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agasfer [191]
3 years ago
11

Rearrange the formula V = 1 3 πr2h for h. A) h = 3V πr2 B) h = V 3πr2 C) h = 3πr2 V D) h = πr2 3V

Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Answer:

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

Step-by-step explanation:

The given formula seems to represent the volume of right circular cone. The correct formula is:

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

We have to rearrange the formula for h. This means we have to move h on one side of the formula and all the other variables and constants on the other side of the equation. This can be done as shown below:

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

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Ellie’s bird feeder is shaped like a cone with a height of 24 in. and a radius of 3 in. Packages of bird seed are cylindrical an
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The volume of seeds in the package must be equal to the volume of the feeder in order to fill it completely. The volume of the conic feeder is given by:
V(f) = (πr²h)/3
And volume of the cylindrical package is given by:
V(p) = πr²h
Equating the two and substituting values:
(π x 3² x 24)/3 = π x 6² x h
h = 2 inches
3 0
3 years ago
It is known that 10% of the calculators shipped from a particular factory are defective. What is the probability that exactly th
IRINA_888 [86]

Answer:0.0081  or 0.81%

Step-by-step explanation:

The required probability is P(3,5,0.1)= C5 3 * p^3*q^2, where

C5 3=  5!/3/2=4*5/2=10

p is the probability that one randomly selected calculator is defective= 10%=0.1

q is the probability that one randomly selected calculator is non-defective.

q=1-p=1-0.1=0.9

So P(3,5,0.1)= 10*0.1^3*0.9^2=0.01*0.81=0.0081

4 0
3 years ago
Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material
Marat540 [252]

Answer:

Marco will need 3\ ft^{2} of material to make the kite

Step-by-step explanation:

we know that

To know how much material Marco will need to make the kite, the area must be calculated.

Remember that the area of the kite is equal to

A=\frac{1}{2}[d1*d2]

where

d1 and d2 are the diagonals of the kite

we have

d1=2\ ft

d2=3\ ft

substitute

A=\frac{1}{2}[2*3]=3\ ft^{2}

3 0
3 years ago
Read 2 more answers
i) Baraka bought ksh.20,000 worth of shares of a company each month. During the first three months, he bought the shares at a pr
Sladkaya [172]

The average price paid by him for the shares after 3 months is ksh. 163.33

<h3>Average</h3>

  • Total value of shares bought = ksh.20,000

  • Amount of shares bought in the first three months = ksh.120, ksh.160 and ksh.210

Average price paid for the shares after 3 months

= (120 + 160 + 210) / 3

= 490 / 3

= 163.333333333333

Approximately,

ksh. 163.33

Learn more about average:

brainly.com/question/20118982

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4 0
2 years ago
6000 is deposited into a fund at the annual rate of 9.5%. Find the time required for the investment to double if the interest is
Anna [14]

Answer: 7.58 years

Step-by-step explanation:

When it comes to finding out how long it will take for an investment to double, one can use the Rule of 72.

The Rule of 72 estimates the amount of time it will take to double an investment when you divide 72 by the interest rate:

= 72 / r

= 72 / 9.5

= 7.58 years

3 0
2 years ago
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