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2 years ago

I NEED HELP ON QUESTION B AND C ASAP.

Mathematics

1 answer:

ipn [44]2 years ago

8 0

Answer:

See below

Step-by-step explanation:

Assumed the dimensions of the top and bottom parts are identical.

Since the cylindrical part has total height of 1.8 cm and the hemisphere volume is transferred to bottom part and the cone part is still full, the value of h is the difference of the total height of cylinder and full part of the top section of cylinder:

h = 1.8 cm - 0.3 cm = 1.5 cm

Find the volume of sand in the bottom part. It consists of a hemisphere and a cylinder of 1.5 cm height.

V(cylinder) = πr²h = 3.14*(2.6/2)²*1.5 ≈ 7.96 cm³
V(hemisphere) = 2/3πr³ = 2/3*3.14*(2.6/2)³ ≈ 4.6 cm³

<u>Total sand in the bottom part:</u>

7.96 + 4.6 = 12.56 cm³

<u>Time taken:</u>

12.56 / 0.05 = 251.2 seconds = 4 min 11.2 seconds

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Three people spend $22.50 on large popcorns and soft drinks. They go back the next week and each pay $8.00 for each ticket, they

kakasveta [241]

Answer:

Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

Step-by-step explanation:

Let the Cost of each large soft drink be x.

Also Let the Cost of each Large bucket of popcorn be y.

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Hence we can say that;

$3x+3y=22.50 \ \ \ \ equation \ 1$

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Money spend on tickets = $8\times3 = \$24$

Total return trip = $37.50

Also they each get a large soft drink, but they share one large bucket of popcorn

Cost of Soft drink = 3x

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Now Total return trip is equal to sum of Money spend on tickets and Cost of soft drink and Cost of popcorn.

Hence equation can be framed as;

$24+3x+y=37.50\\3x+y=37.50-24\\3x+y = 13.50 \ \ \ \ eqaution \ 2$

Now Subtracting equation 2 from equation 1 we get;

$(3x+3y)-(3x+y)=22.50-13.50\\\\3x+3y-3x-y=9\\\\2y= 9\\\\y=\frac{9}{2}=\$4.50$

Now substituting the value of y in equation 1 we get;

$3x+3y=22.50\\\\3x+3\times4.50=22.50\\\\3x+13.50=22.50\\\\3x=22.50-13.50\\\\3x= 9\\\\x=\frac{9}{3}=\$3.00$

Hence Cost of each large soft drink is $3.00 and Cost of each Large bucket of popcorn is $4.50.

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3 years ago

Answer this one correctly !!!

kakasveta [241]

D is the correct answer

v = y

good luck

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2 years ago

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