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3 years ago

Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.

Mathematics

1 answer:

Leviafan [203]3 years ago

6 0

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

$Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h$

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

$h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93$

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

$Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93$

$Volume\,\,of\,\,cone=1526.62$

Rounding off to the nearest tenth:

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

#learnwithBrainly

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Step-by-step explanation:

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3 years ago

Read 2 more answers

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Xelga [282]

Answer:

a) Option A: r = 5

b) Option C: y = x

Step-by-step explanation:

a) First, we know that a circle centered at the origin of radius R is written as:

x^2 + y^2 = R^2

Then x^2+y^2=25 can be rewritten as:

x^2 + y^2 = 5^2

This is a circle of radius 5.

Then in polar form, this can be written as:

r = 5

b) Now we have the angle 225°

For rectangular coordinates (x, y)

The correspondent value of θ is given by:

Tan(θ) = y/x

In this case, we have θ = 225°

Then:

Tan(225°) = 1 = y/x

This can be rewritten as x = y

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3 years ago

In a church wing with 8 men and 10 women members find the probability that a 5 member committee chosen randomly will have.......

Sergeeva-Olga [200]

Answer:

a) Probability that a 5 member committee will have all men = 0.0065

b) probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

Step-by-step explanation:

Number of men = 8

Number of women = 10

Total number of members = 10 + 8 = 18

Probability = (Number of possible outcomes)/(Total number of outcomes)

Number of ways of selecting a 5 member committee from 18 people = $^{18}C_5 = \frac{18!}{(18-5)!5!} = \frac{18!}{13!5!}$ = 8568 ways

a) Probability that a 5 member committee will have all men

Number of ways of selecting 5 men from 8 men

= $^8C_5 = \frac{8!}{(8-5)!5!} = \frac{8!}{3!5!}$ = 56 ways

Probability that a 5 member committee will have all men = 56/8568

Probability that a 5 member committee will have all men = 0.0065

b)probability that a 5 member committee chosen randomly will have 3men and 2 women

Number of ways of selecting 3 men from 8 men

= $^8C_3 = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!}$ = 56 ways

Number of ways of selecting 2 women from 10 men

= $^{10}C_2 = \frac{10!}{(10-2)!2!} = \frac{10!}{8!2!}$ = 45 ways

Number of ways of selecting 3 men and 2 women = 56*45

Number of ways of selecting 3 men and 2 women = 2520

Probability of selecting 3 men and 2 women = 2520/8568 = 0.294

probability that a 5 member committee chosen randomly will have 3 men and 2 women = 0.294

6 0

3 years ago

Can you help me in this question and explain why plss!?

ser-zykov [4K]

Answer:

see explanation

Step-by-step explanation:

If the triangle is right then by Pythagoras' identity, the longest side ( hypotenuse) will be equal to the sum of the squares on the other 2 sides.

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3² + 5² = 9 + 25 = 34 ≠ 36

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3 years ago