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suter [353]
2 years ago
11

A circular pan has a diameter of 14 cm and a height of 17 cm how much water will it take to fill the pan

Mathematics
2 answers:
Korvikt [17]2 years ago
8 0

Answer:

2617.3cm³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cylinder.

The circular pan takes the shape of a cylinder

Given data

Diameter d = 14cm

Radius r= 14/2= 7cm

Height h= 17cm

To find the capacity of water it can hold let us use the formula for the volume of the cylinder

V= πr²h

V= 3.142*(7)²*17

V= 3.142*49*17

V= 2617.3cm³

Otrada [13]2 years ago
8 0

Answer:

It'll take 2616.946 cm³ to fill the pan.

Step-by-step explanation:

In order to calculate how much water it will take to fill the pan we need to calculate it's volume. Since the bottom is circular, then the pan have a cylinder format and it's volume can be calculated by:

volume = pi*r²*h

The radius of the circle is the diameter divided by two.

volume = pi*(14/2)²*17

volume = pi*(7)²*17

volume = pi*49*17

volume = 2616.946 cm³

It'll take 2616.946 cm³ to fill the pan.

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A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover tha
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Answer:

(a)\ Area = 195\pi

(b)\ Volume = 700\pi

Step-by-step explanation:

Given

h = 12

d_1 = 10 --- lower diameter

d_2 = 20 --- upper diameter

Solving (a): The curved surface area

This is calculated as:

Area = \pi l(r_1 + r_2)

Where

r_1 = 0.5 * d_1 = 0.5 * 10 = 5 --- lower radius

r_2 = 0.5 * d_2 = 0.5 * 20 = 10 --- upper radius

And

l = \sqrt{h^2 + (r_1 - r_2)^2 ---- l represents the slant height of the frustrum

l = \sqrt{12^2 + (5 - 10)^2

l = \sqrt{12^2 + (-5)^2

l = \sqrt{144 + 25

l = \sqrt{169

l = 13

So, we have:

Area = \pi l(r_1 + r_2)

Area = \pi * 13(5 + 10)

Area = \pi * 13(15)

Area = 195\pi

Solving (b): The volume

This is calculated as:

Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))

This gives:

Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))

Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))

Volume = \frac{1}{3}\pi * 12 * (175)

Volume = \pi *4 * 175

Volume = 700\pi

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3 years ago
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