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quester [9]
2 years ago
11

Please help with all of question 5 ​

Mathematics
1 answer:
musickatia [10]2 years ago
7 0

Volume of a right cone with base radius r cm and height h cm :

V = 1/3 π r² h cm³

Surface area :

A = (π r² + π r √(h² + r²)) cm²

Volume of a sphere with radius r cm :

V = 4/3 π r³ cm³

Surface area :

A = 4 π r² cm²

Volume of a cuboid with dimensions r cm × r cm × h cm :

V = r² h cm³

Surface area :

A = 2 r² + 4 r h

a. If the cone and sphere have the same volume, then

1/3 π r² h = 4/3 π r³   ⇒   h = 4r

b. If the area of the cuboid is 98 cm², then

2 r² + 4 r h = 98   ⇒   r (r + 2 h) = 49

c. Since h = 4r, substituting this into the equation from (b) gives

r (r + 8 r) = 9 r² = 49   ⇒   r² = 49/9   ⇒   r = 7/3

d. With r = 7/3, we have

h = 4 × 7/3 = 28/3

and so the volume of the cuboid is

V = (7/3 cm)² (28/3 cm) = 1372/27 cm³

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allochka39001 [22]

Answer:

  n = -2

Step-by-step explanation:

Eliminating parentheses, you have ...

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_____

<em><u>Check</u></em>

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3 years ago
BRAINLIESTT ASAP! PLEASE HELP ME :)
alukav5142 [94]

Answer:

216 min

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Step-by-step explanation:

1/9+1/6

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5/18

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3.6 hours

Step-by-step explanation:

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Blake can do a part of work in 1 hour = 1/9

Ned can paint the same room in six hours.

Ned can do a part of work in 1 hour = 1/6

They can do a part of work together in 1 hour =  1/9+1/6

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Now they can do 5/18}  part of work in hour = 1

So, they can do whole work in hours =  1/5/18

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Hence it will take 3.6 hours to paint the room if they work together.

7 0
3 years ago
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Answer:

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7 0
3 years ago
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Answer:

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<em />

<u>Let me know if you have any questions! </u>

:)

6 0
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