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STatiana [176]
2 years ago
11

If a cylinder has a volume of 300 m3 and a radius of 5 m, what is its height (in meters)? (Round your answer to two decimal plac

es.)
also second question:

The diameter is 6 feet 6 inches. The height is 12 feet 3 inches. Determine the surface area (in square feet) and volume (in cubic feet) of the following. (Round your answers to one decimal place.)
Mathematics
1 answer:
nevsk [136]2 years ago
8 0

The height of the cylinder is 3.82 m

2. The surface area is 316.5 ft²

The volume is 406.5 ft³

<h3>Calculating volume of a cylinder </h3>

The volume of a cylinder is given by the formula,

V = πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

V = 300 m³

r = 5 m

h = ?

Putting the parameters into the formula, we get

300 = π × 5² × h

300 = π × 25× h

∴ h = 300/25π

h = 3.82 m

Hence, the height of the cylinder is 3.82 m

2.

Diameter = 6 feet 6 inches = 6.5 feet

∴ Radius = 3.25 feet

Height = 12 feet 3 inches = 12.25 feet

Surface area of a cylinder is given by

Surface area = 2πr(r + h)

Where r is the radius

and h is the height

Surface area = 2π×3.25(3.25 + 12.25)

Surface area = 316.5 ft²

For the volume

V = πr²h

V = π × 3.25² × 12.25

V = 406.5 ft³

Hence, the volume is 406.5 ft³

Learn more on Calculating the volume of a cylinder here: brainly.com/question/9554871

#SPJ1

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lys-0071 [83]

Answer:number of boxes = 60

Volume of box = side × side × side.

 = 3 × 3 × 3

= 27 cu. cm.

Volume of carton = length × breadth × height.

= 15 × 9 × 12

= 1620 cu. cm.

Number of boxes = Volume of carton/Volume of each box.

= 1620/27

= 60

Therefore, number of boxes = 60.

Step-by-step explanation:Volume of box = side × side × side.

 = 3 × 3 × 3

= 27 cu. cm.

Volume of carton = length × breadth × height.

= 15 × 9 × 12

= 1620 cu. cm.

Number of boxes = Volume of carton/Volume of each box.

= 1620/27

= 60

Therefore, number of boxes = 60.

3 0
3 years ago
Mrs. Jacobs is making several batches of cookies and is using 84 total ounces of chips. The cookies have chocolate chips and pea
WARRIOR [948]

The ounces of chocolate chips used by Mrs Jacob is 70 ounce

<em><u>Solution:</u></em>

Given that Jacob is making several batches of cookies and is using 84 total ounces of chips

Let "c" be the ounces of chocolate chips

Let "p" be the ounces of peanut butter chips

To find: ounces of chocolate chips used by Mrs Jacob

Given that There are 5 times as many ounces of chocolate chips as peanut butter chips

<em><u>Thus we can frame a equation as:</u></em>

ounces of chocolate chips = 5 x ounces of peanut butter chips

c = 5p -------- eqn 1

Jacob used 84 total ounces of chip. Therefore,

ounces of chocolate chips + ounces of peanut butter chips = 84

c + p = 84 ---- eqn 2

Substitute eqn 1 in eqn 2

5p + p = 84

6p = 84

<h3>p = 14</h3>

Substitute p = 14 in eqn 1

c = 5(14) = 70

<h3>c = 70</h3>

Thus the ounces of chocolate chips used by Mrs Jacob is 70 ounce

8 0
3 years ago
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1/2n+8=c one half of n plus 8 equals c
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Two unfair dice are rolled independently. The first has 0.5 probability of landing on a 6,with equal probability for the other f
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Answer:

Step-by-step explanation:

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