Mathematics, 26.09.2019 19:30 dpchill5232

Acylinder has a radius of 3 feet and a height of 7 feet. which of the following can be used to calculate the volume of a cone that fits exactly inside the cylinder?
a. (3.14)(72)(3)
b. 1 over 3 (3.14)(72)(3)
c. (3.14)(32)(7)
d. 1 over 3 (3.14)(32)(7)

Answers: 2

Show answers

Answers

Volume of Cylinder: (3.14)r^2*h
Volume of cone: 1/3(3.14)r^2h

To fit exactly, both of the shapes' radii must be equal (have the same base) and must be equal in height

Therefore the equation would be 1/3(3.14)(3)^2*7

This equals 1/3(3.14)(9)(7)
Which equals 1/3(3.14)(63)

Again, it doesn't seem to answer any of the sections (correct me if I'm wrong)

Answer from: jeanetteelliotp9ru6m

D. $\frac{1}{3} *3.14*3^{2} *7$

Step-by-step explanation:

Given :

A cylinder having radius = 3 feet

Height = 7 feet

To Find : the volume of a cone that fits exactly inside the cylinder

Solution :

Refer the attached figure then you can observe that when the radius and height of the cone will be equal to radius and height of the cylinder only then cone fits exactly inside the cylinder

Now to check which of the following option is that volume of the cone that fits into the given cylinder .

Volume of cone = $\frac{1}{3} \pi r^{2} h$ ---(a)

where $\pi =3.14$

now r (radius) and h(height) in this formula should be equal to r and h of the given cylinder

Consider Option A : VOLUME OF CONE : $3.14*7^{2} *3$

If we compare this option with the formula (a)

first this is not the volume of cone since 1/3 is missing

Then r = 7 and h = 3

while r =3 and h = 7 of given cylinder

So option A cone cannot get fits into the given cylinder .

Thus option A is wrong .

Consider Option B : VOLUME OF CONE : $\frac{1}{3} *3.14*7^{2} *3$

If we compare this option with the formula (a)

Then r = 7 and h = 3

while r =3 and h = 7 of given cylinder

So option B cone cannot get fits into the given cylinder .

Thus option B is wrong .

Consider Option C : VOLUME OF CONE : $3.14*3^{2} *7$

If we compare this option with the formula (a)

We will see that this is not the volume of cone since 1/3 is missing

Thus the option C is wrong

Consider Option D : VOLUME OF CONE : $\frac{1}{3} *3.14*3^{2} *7$

If we compare this option with the formula (a)

formula used is correct

and r = 3 and h = 7

Since r and h of this volume of cone is equal to r and h of given cylinder . So, this cone fits into given cylinder .

Thus Option D IS CORRECT .

Acylinder has a radius of 3 feet and a height of 7 feet. which of the following can be used to calcu

Answer from: Quest

answer:

step-by-step explanation:

Answer from: Quest

it is contrapositive

i could not see the question too well so check yourself again too . this is because i want you to get it correct.

Another question on Mathematics

Mathematics, 21.06.2019 18:00

The constant of proportionality is always the where k is the constant of proportionality. additionally, you can find the constant of proportionality by finding the ratio for any point onasap

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

What is the solution of log2 (3x - 7) = 3? 4 5

Answers: 1

Answer

Mathematics, 21.06.2019 20:10

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = -6. which function could heather be writing? fx) = x2 + 36x + 12 = x2 - 36x - 12 f(x) = -x + 12x + 36 f(x) = -x? - 12x - 36

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Write an equation of the line that passes through the point (2, 3) and is perpendicular to the line x = -1. a) y = 1 b) y = 3 c) y = 0 eliminate d) y = -3

Answers: 1

Answer

You know the right answer?

Acylinder has a radius of 3 feet and a height of 7 feet. which of the following can be used to calcu...

Questions