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3 years ago

2. The diagram shows some steps. Find the volume in cm^3 and surface area in cm^2.

Mathematics

2 answers:

aleksley [76]3 years ago

6 0

Step-by-step explanation:

Volume= [(20+20) x (20+20) x 100] - (20 x 20 x 100)

=120000cm^3

surface area= 2 x 40 x 100 + 2 x (40 x 40 - 20 x 20) + 4 x 20 x 100

=18400cm^2

hoa [83]3 years ago

6 0

Volume:

There are a total of 3 "blocks". Each block:

lwh=20cm*20cm*1m=20*20*100=4000cm³ per block

so 3 blocks = 4000cm³*3=12000cm³

Surface Area:

There are 4 |__| faces. Each = 20cm*1m = 20cm*100cm = 2000cm²

2000cm²*4=8000cm² for part 1

There are 2 L faces. Each L face is (20+20)*20=800cm²

so 2 L faces = 1600cm²

There is the back and the bottom are equal. Each is 100*(20+20)=4000cm²

Total Surface Area: 2000+800+4000 (cm²) = 6800cm²

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Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

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3 years ago

Craig’s school has 4 lessons in the morning lessons 1 starts at 8:35 each lesson is 60 minutes long there is a break between les

jasenka [17]

Answer:

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Step-by-step explanation:

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We can see that lesson 1 will end at 9:35 AM and second lesson will end at 10:35 AM.

We have been also given that there is a break for 15 minutes between lesson 2 and 3. So third lesson will start at 10:50 AM as lunch break will end at 10:50 AM.

Third lesson will end 60 minutes after 10:50 AM that is 11:50 AM and fourth lesson will end 60 minutes after 11:50 AM that is 12:50 PM.

Therefore, 4th lesson will end at 12:50 PM.

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Answer:

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