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3 years ago

5

Please help me out with this because I have this due today and I’m trying to finish either way I wanna make sure if it’s right o

r either wrong... thank you

1 answer:

Nostrana [21]3 years ago

7 0

you have it all correct so far, except for part b. it's plan b instead of plan a i believe

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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

Please help me idk this

kupik [55]

Answer:

A. Twice the radius, d = 2r

Step-by-step explanation:

The diameter is a line that splits a circle in half, while the radius is only half of that.

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2 years ago

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions

Volgvan

Answer:

B

Step-by-step explanation:

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3 years ago

1/2(18-5x)=1/3(6-4x)<br> solve for x

Dvinal [7]

Answer:

x = 6

Step-by-step explanation:

1/2(18-5x)=1/3(6-4x)

9 - 5/2x = 2 - 4/3x

7 = 7/6x

x = 6

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3 years ago

What is the first step that should be used to solve the equation?<br> 12.5n=200

zimovet [89]

Answer:

200/12.5 and then you'll get the answer

Step-by-step explanation:

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3 years ago