Mathematics, 22.01.2020 21:31 stheo

Acylinder has volume 78 cm3 . what is the volume of a cone with the same radius and height? a 26 cm3 b 39 cm3 c 156 cm3 d 234 cm3

Answers: 1

Show answers

Answers

Answer from: firenation18

The volume of the cone is 26 cubic centimeters.

A cylinder has a volume of $78 \;\rm{cm}^3$ .

We need to determine the volume of a cone with the same dimensions compared to a cylinder.

Now,

The formula for finding the volume of the cylinder is $\pi r^2h$ .

The formula for finding the volume of the cone is $\dfrac{1}{3}\pi r^2h$ .

Therefore, the volume of the cylinder is thrice the volume of the cone if we consider the same dimensions.

Thus,

$\begin{aligned} 3 \times \rm{volume\;of\;the\;cone}&=78\;\rm{cm^3}\\&=26\;\rm{cm^3} \end{aligned}$

Hence, the volume of the cone is 26 cubic centimeters.

To know more about the cone, please refer to the link:

link

Answer from: ineedhelpplz40

Option A - $26 \mathrm{cm}^{3}$

Step-by-step explanation:

Given: The volume of a cylinder = $78 \mathrm{cm}^{3}$

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is $V=\frac{\pi r^{2} h}{3}$ (1)

The formula for volume of a cylinder is $V=\pi r^{2} h$ (2)

Substituting V=78 in equation (2), we get,

$\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}$

Given that the cone has the same radius and height of that of the cylinder, let us substitute $78=\pi r^{2} h$ in equation (1)

$\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}$

Thus, the volume of a cone with the same radius and height of a cylinder is $26 \mathrm{cm}^{3}$ .

Answer from: Quest

113.42

i hope that is right.

step-by-step explanation:

Answer from: Quest

statement #3: proof- ang is congruent to ang ecd : angles are congruent.

step-by-step explanation:

1: the missing angles in statement #3

a.) acb

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.

2: the missing word in reason #3

c.) vertical

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.

i hope that was and understanding.

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:30, ultimateapes

Use the radius you found in part i (r=26.8 cm) with the surface area formula below to find the surface area of the sphere. show your work and round your answer to the nearest tenth. the surface area of a sphere: sa = 4πr^2 self note: 3.8.4

Answers: 2

continue

Mathematics, 21.06.2019 18:30, isabellacampos4586

It took alice 5 5/6 hours to drive to her grandparents' house for . on the way home, she ran into traffic and it took her 7 3/8 hours. how much longer did the return trip take? write your answer as a proper fraction or mixed number in simplest form. the trip home took __hours longer. ?

Answers: 1

continue

Mathematics, 21.06.2019 20:20, shartman22

20 solve 2(4 x + 3) < 5 x + 21. a) { x | x < 9} b) { x | x > -5} c) { x | x > -9} d) { x | x < 5}

Answers: 2

continue

Mathematics, 21.06.2019 20:30, meowmeowcow

Given: klmn is a parallelogram m? n=3m? k, lf ? kn , ld ? nm kf=2 cm, fn=4 cm find: lf, ld

Answers: 1

continue

You know the right answer?

Acylinder has volume 78 cm3 . what is the volume of a cone with the same radius and height? a 26 cm...