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In-s [12.5K]
3 years ago
14

How far above ground is the top of the pole?

Mathematics
1 answer:
Arisa [49]3 years ago
8 0

Answer:

I would say about 7 feet and 1 inch

Step-by-step explanation:

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Juliette [100K]
Your center would be (3,-4) 
7 0
2 years ago
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Find the volume and surface area of the composite figure. Give your answer in terms of π.
irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

<u>Volume:</u>

For volume

r = 6 cm

h = 8 cm

Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3

<u>Surface Area:</u>

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2

Hence the first option is correct ..

3 0
2 years ago
00:00
vlada-n [284]

Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)

Step-by-step explanation:

  • Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm

Volume = πr²h = 3.14 × 4² × 9.5

             = 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³

3 0
2 years ago
I need help with this​
kompoz [17]

Answer:

3

Step-by-step explanation:

8 0
2 years ago
Regina receive a score of 39 out of 52 on a quiz. What percentage did she earn?
Verdich [7]

Answer:

78%

Convert fraction (ratio) 39 / 50 Answer: 78%

8 0
3 years ago
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