The product of a number and its _____ is one.<br><br>Please fill in the blank.

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a hieght of 3 inches. The cone has a radiu

arlik [135]

The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

Step-by-step explanation:

The given is,

A cylinder and a cone have the same volume

Cylinder has a radius 2 inches and height of 3 inches.

Cone has a radius of 3 inches

Step:1

For Cylinder'

Formula to calculate the volume of cylinder is,

$V = \pi r^{2} h$ ..................................................(1)

where,

r - 2 inches

h - 3 inches

From the equation (1)

= $\pi$ × $2^{2}$ × 3

= 37.70

V = 37.70 cubic inches

Step:2

For cone,

Formula to calculate the volume of cone is,

$V = \pi r^{2} \frac{h}{3}$ ..................................................(2)

From the statement,

cylinder and a cone have the same volume

$V_{cylinder}$ = $V_{cone}$

37.70 = $\pi$ × $3^{2}$ × $\frac{h}{3}$

37.70 = 9.42478 × h

Height of the cone, h = 4 inches

Result:

Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

4 0

2 years ago

Solve: 5(3x + 2) -2 = 2 (1 -7x)

True [87]

X = -6/29 is the correct answer

5 0

2 years ago

Read 2 more answers

Just help please, im the NOT smartest

olasank [31]

Answer: 3/7

The slope is the same.

4 0

2 years ago

Read 2 more answers

Mrs. Nixon went to the store to buy candy for her

AnnyKZ [126]

Answer:

$2.25

Step-by-step explanation:

First, we (always) highlight key details. In this case, we would highlight that th candy is 90 cents per pound, and the she bought 2.5 pounds. Now, we just multiply 2.5 by .90, and boom! We get $2.25. Mrs. Nixon spent $2.25 (or two dollars and twenty-five cents) on candy bars.

8 0

2 years ago

∠1 and ∠2 are supplementary. ∠1=124°∠2=(2x+4)° Select from the drop down menu to correctly answer the question.

Alex_Xolod [135]

Remark
Supplementary angles add up to 180o.

Givens
<1 = 124
<2 = 2x + 4

I imagine you are looking for either x or <2.

Equation
<1 + <2 = 180 Substitute the givens
124 + 2x + 4 = 180 Collect like terms on the left.
128 + 2x = 180 Subtract 128 from both sides
2x = 180 - 128 Collect like terms on the right
2x = 52 divide by 2
x = 52/2
x = 26 <<<<<<<<< answer

<1 = 124
<2 = 2x + 4 = 2*26 + 4
<2 = 52 + 4
<2 = 56 <<<<<<<< answer

We need choices if you want an exact answer.

3 0

3 years ago

The product of a number and its _____ is one.Please fill in the blank.