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3 years ago

!!EASY!! look at the picture

Mathematics

1 answer:

MrMuchimi3 years ago

3 0

Answer:what

Step-by-step explanation:

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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

Volume:

For volume

r = 6 cm

h = 8 cm

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

Surface Area:

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

3 years ago

Abeela bought 1 3/8 pounds of cheese what is the weight of the cheese as a decimal number ?

Naddik [55]

Answer:

1.375

Step-by-step explanation:

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Your turn :will the set of numbers given form a right triangle? 8 meter ,10 meter,12 meter

White raven [17]

Yes! It can!

The 12 meters will be the hypotenuse, the 10 meters can be a side and the 8 meters can be another side.

6 0

3 years ago

Amanda started the week with $200 in her bank account. Then she deposited $300 she earned from a garage sale. What was the final

Doss [256]

500 dollars 300+200=500

3 0

3 years ago

Read 2 more answers

A cell phone company charges a monthly rate of $10.00 and $0.20 a minute per call. Write an equation that can be used to determi

Aleks04 [339]

Answer:

y = 0.20m + 10, 100 minutes

Step-by-step explanation:

Equation: y = mx + b

Fill it in.

m = slope = 0.20

b = y-intercept = 10

y = 0.20x + 10 (They wanted the variable to be m. So, changing that.)

y = 0.20m + 10

Fill in.

30 = 0.20m + 10

Solve.

20 = 0.20m

100 = m

She was on the phone for 100 minutes.

3 0

3 years ago