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Elan Coil [88]
3 years ago
15

Find the amount of ice cream in a cone if the radius of the cone is 5 cm and its height is 8 cm. The ice cream fully fills the c

one and the hemisphere of ice cream on the top has a radius of 5 cm.
Help I have one last attempt and I can not figure this out.
Mathematics
2 answers:
Vlad1618 [11]3 years ago
7 0

Answer:

471 cm³

Step-by-step explanation:

Volume = cone + hemisphere

= [⅓×pi×r²×h] + [⅔×pi×r³]

= ⅓pi×r²[h + 2r]

= ⅓×3.14×5²[8 + 2(5)]

= (157/6)(18)

= 471

This is using pi as 3.14

A slightly different value of pi will alter the final answer

Oksana_A [137]3 years ago
7 0

Answer:

Step-by-step explanation:

We have to find the volume of the cone + volume of hemisphere.

Amount of ice cream= volume of the cone + volume of the hemisphere

Volume of the cone: πr²h/3=π*(5 cm)²*8 cm / 3=200π cm³ / 3 ≈209.44 cm³

Volume of the hemisphere=((4/3)πr³) / 2=(4/6)π(5 cm)³≈261.8 cm³

Amount of ice cream=209.44 cm³ + 261.8 cm³=471.24 cm³

Answer=471.24 cm³

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Step-by-step explanation:

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Oscar charges $25 for the first hour of tutoring and $15 for each additional hour or fraction of an hour. The rates that Latoya
Hatshy [7]

Answer:

Layota

$47.5

Step-by-step explanation:

Let number of hours = x

Given that:

Oscar's charges :

First hour = $25

Additional hours = $15

Thus :

Total charge : 25 + 15(x - 1)

The piece wise equation given for Layota's charge rate :

First 3 hours = $30

Next 3 hours = $20

Hours greater Than 6 = $10

If total hours ; x = 5.5 hours

Oscar :

$25 + $15(5.5 - 1)

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Unit 3, Lesson 7
aksik [14]

Answer:

Find the complete table in attached file.

Step-by-step explanation:

Find the Incomplete table in attached file

Given:

A car travels 55 miles per hour for 2 hours.

So the speed of the car 55 miles per hour is constant for 2 hours.

Using speed  formula.

Speed=\frac{distance}{time}

Second row.

From the second row of the table time = \frac{1}{2}=0.5\ sec and speed is constant speed = 55\ mi/hr, so we need to find only distance.

Speed=\frac{distance}{time}

55=\frac{distance}{0.5}

distance = 55\times 0.5

distance = 27.5\ mi

Third row.

From the third row of the table time =1\frac{1}{2}=\frac{3}{2} = 1.5\ sec and speed is constant speed = 55\ mi/hr, so we need to find only distance.

Speed=\frac{distance}{time}

55=\frac{distance}{1.5}

distance = 55\times 1.5

distance = 82.5\ mi

Fourth row.

From the fourth row of the table distance =110\ miles and speed is constant speed = 55\ mi/hr, so we need to find time.

Speed=\frac{distance}{time}

time=\frac{distance}{speed}

time=\frac{110}{55}

time = 2\ sec

Therefore we complete the table from the above calculation.

8 0
3 years ago
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