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Whitepunk [10]
3 years ago
13

You have an ice cream scoop with a 2-inch diameter. You have an ice cream cone with a 2-inch diameter and a height of 5 inches.

If you place one scoop of ice cream on the cone and let the ice cream melt, will it spill over the cone?
Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

Answer:

Since the volume of the cone is bigger than the volume of the scoop, it won't spill.

Step-by-step explanation:

In order to calculate if the ice cream will spill we will need to calculate the volume on the ice cream scoop and the volume of the cone. If the volume of the scoop is bigger than the cone it will spill.

volume scoop = (4/3)*pi*r³ = (4/3)*pi*(2/2)³ = 4.1888 in³

volume cone = (pi*r²*h)/3 = [pi*(2/2)²*5]/3 = 5.236 in³

Since the volume of the cone is bigger than the volume of the scoop, it won't spill.

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8 0
3 years ago
The table above shows some values of the functions f
Margarita [4]

Answer:

a

Step-by-step explanation:

g(1)=5

f(g(1))=f(5)

f(5)=2

5 0
3 years ago
allowing 20% discount on the marked price of a watch the value of the watch will be Rs 6328 when a vat 13%is added ,find the fin
Ahat [919]

Step-by-step explanation:

Let the marked price of a watch be =₹x

∴ Discount price = x- 20% of x

= x - 0.2x

=0.8x

Amount of VAT = 13% of 0.8x

0.13 x 0.8x

0.104x

Now,

Selling price = 0.8x + 0.104x

              ∴6328 = 0.904x

x = 0.904 / 6328

x=0.00014285714

7 0
2 years ago
Gulf gully and jump rope road are a pretty far distance.If the scale for the map is 0.5 inches=2.3 miles,what is the actual dist
Nezavi [6.7K]

Answer:

12 cm = 21.62 miles

6 cm = 11.04 miles

Step-by-step explanation:

To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of \frac{map}{real world} and simplify.

We know \frac{map}{real world}=\frac{0.5in}{2.3 miles}. We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write \frac{4.7in}{xmiles} and  \frac{2.4in}{xmiles}

We set them equal.

\frac{0.5}{2.3}=\frac{4.7}{x}

and

\frac{0.5}{2.3}=\frac{2.4}{x}

To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

2.3(4.7)=0.5(x)\\10.81=0.5x\\\frac{10.81}{0.5}=\frac{0.5x}{0.5} \\21.62 miles=x

and

2.3(2.4)=0.5(x)\\5.52=0.5x\\\frac{5.52}{0.5}=\frac{0.5x}{0.5} \\11.04 miles=x

8 0
3 years ago
Calculate 50% of 684 m.<br> Give your answer in metres (m).
Phantasy [73]

Answer:

<h2><u><em>342 m</em></u></h2>

Step-by-step explanation:

Calculate 50% of 684 m.

Give your answer in metres (m).

50% = 1/2

so

684 : 2 = 342 m

4 0
2 years ago
Read 2 more answers
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