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ANTONII [103]

Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

Solution:

Given that

A cylinder and A cone have the same diameter = 10 inches and same height = 12 inches

Need to find the relationship between volume of cylinder and cone.

Let’s calculate volume of each object separately first.

Calculation of volume of cylinder :

Formula of volume of cylinder is given as:

$V_{c y}=\pi r^{2} h$

Where π=3.14

$\text { radius } r=\frac{\text {diameter}}{2}=\frac{10}{2}=5 \text { inches }$

height h = 12 inches

On substituting given values in formula of cylinder we get

$\begin{array}{l}{V_{c y}=3.14 \times 5^{2} \times 12=942 \text { cubic inches }} \\\\ {\text { Volume of cylinder }=V_{c y}=942 \text { cubic inches }}\end{array}$

Calculation of volume of cone:

Formula of volume of cone is given as:

$V_{c o}=\frac{\pi r^{2} h}{3}$

Here π=3.14

$\begin{array}{l}{\text { radius } r=\frac{\text { diameter }}{2}=\frac{10}{2}=5 \text { inches }} \\\\ {\text { height } \mathrm{h}=12 \text { inches }}\end{array}$

On substituting given values in formula of cone we get

$V_{c o}=\frac{3.14 \times 5^{2} \times 12}{3}=314 \text { cubic inches }$

$\text { Volume of cone }=V_{c o}=314 \text { cubic inches }$

On comparing the two volumes we get

$V c y: V c o=942: 314=3: 1$

Hence can conclude that Volume of cylinder is 3 times of volume of cone having same base diameter and same height.

8 0

2 years ago

There are 200 pieces of gum. The first student gets one-half and each student gets half of what's left each time. How many piece

grin007 [14]

Answer: the 7th person will get 3.125 pieces of gum.

Step-by-step explanation:

The first student gets one-half and each student gets half of what's left each time. This means that number of pieces of gum that each student gets is reducing in geometric progression. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 200

r = 0.5

n = 7

The 7th term, T7 is

T7 = 200 × 0.5^(7 - 1)

T7 = 200 × 0.5^6

T7 = 3.125

7 0

2 years ago

How many minutes should you set timer in order to spray vegetables 5 times each hour

german

1 hour equals 60 minutes.

60/5=12.

Answer is 12 minutes.

Hope this helps.
Mark as branliest tq.

6 0

2 years ago

.44÷0.0625=7.04 How do we write this out

Llana [10]

Depends on what sense of "write out" you want. Technically it is already written out. But what they are asking for is for you to prove it, so show your work for .44/0.0625.

8 0

2 years ago

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Shalnov [3]

Supplementary: N and M

Supplementary angles: A pair of angles that when combined are equal to 180°.

Vertical: M and I

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles that when combined are equal to 90°.

Hope this helps! Good luck! :D

3 0

3 years ago