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Sauron [17]
3 years ago
5

The height of a paper cone-shaped cup is 33 cm and the diameter of the paper cone-shaped cup is 20 cm, how much paper was used?

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer:

A=1397.38\ cm^2

Step-by-step explanation:

Given that,

The height of the paper cone shaped, h = 33 cm

The diameter of the cone, d = 20 cm

Radius = (20/2) = 10 cm

oWe need to find how much paper was used. It means we need to find the total surface area of the cone.

A=\pi rl+\pi r^2

Where

l is the slant height,

l=\sqrt{r^2+h^2} \\\\=\sqrt{10^2+33^2} \\\\=34.48\ cm

So,

A=\pi \times 10\times 34.48+\pi (10)^2\\\\=1397.38\ cm^2

So, 1397.38\ cm^2 of the paper was used.

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A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?
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Answer:

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Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = 56\pi\text{ cm}^2

Formula for area of sector is

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Substitute A=56\pi and r=8 in the above formula.

56\pi=\dfrac{1}{2}\theta (8)^2

56\pi=\dfrac{64}{2}\theta

56\pi=32\theta

\dfrac{56\pi}{32}=\theta

\dfrac{7\pi}{4}=\theta

Therefore, the measure of the sector in radians is \frac{7\pi}{4}.

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