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fenix001 [56]
3 years ago
13

A scoop of ice cream is in the shape of a perfect sphere and it sits on top of a cone. The diameter of the sphere equals the dia

meter of the base of the cone, which is 8 cm. How tall must the cone be so that if the ice cream melts, it will all fit into the cone
Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0

Answer:

(At least) 10 centimeters.

Step-by-step explanation:

The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.

We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.

First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:

Since the radius is 2.5 cm, the volume of the full ice cream scoop is:

The volume of a cone is given by:

The radius of the cone is 2.5 cm. Therefore:

The volume of the cone should be equal to the volume of the scoop. So.

The height of the cone should be (at least) 10 cm.

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7. Tyson obtained a loan from the bank at 7.5% simple interest for 2. 5 years. If the simple interest was
9966 [12]

Answer:

7.He borrowed $1853.33

8.She received $28990.936

Step-by-step explanation:

7.Let x be the amount borrowed by Tyson

Rate of interest = 7.5%

Time = 2.5 years

Simple Interest = 347.50

Formula : Si = \frac{P \times T \times R}{100}

Where SI = simple interest

P = Principal

T = Time

R = Rate of interest

Substitute the values in the formula :

347.50=\frac{x \times 2.5 \times 7.5}{100}\\\frac{347.50 \times 100}{2.5 \times 7.5}=x\\1853.33=x

Hence he borrowed $1853.33

8) Principal = 20000

Rate of interest = 9.5%

No. of compounds per year = 2

Time = 4 years

Formula : A=P(1+\frac{r}{n})z^{nt}

Where A= amount

r = Rate of interest

n = no. of compounds

t = time

Substitute the values in the formula :

So, A=20000(1+\frac{9.5}{200})^{2(4)}

A=28990.936

Hence she received $28990.936

8 0
3 years ago
Find the solutions please help me
weeeeeb [17]
The first one is:
y = 5-7=-2
(5, -2)

second one:
4 = x + 3
x =4-3=1
(1,4)
6 0
3 years ago
URGENT PLEASE HELP ASAP
Murljashka [212]

Answer:

What do you need help with

Step-by-step explanation:

7 0
3 years ago
A bicycle store pays $29.62 for a helmet the store sells the helmet for $39.99 find the percent markup
krek1111 [17]
Percent increase = (new number - original number) / original number...* 100
                           = (39.99 - 29.62) / 29.62....* 100
                           = 10.37 / 29.62....* 100
                           = 0.35 * 100
                           = 35% markup <===
8 0
3 years ago
Bill has saved $825 from his last 8 paychecks. He saved either $75 or $150 a paycheck. Formulate and solve a system of equations
11Alexandr11 [23.1K]

Answer: 5 times

Step-by-step explanation:

Let the number of times that he saved $75 be x.

Let the number of times that he saved $150 be y.

Therefore, based on the information given in the question, we can form an equation which will be:

x + y = 8 ...... i

75x + 150y = 825 ....... ii

From equation I,

x + y = 8

y = 8 - x....... iiii

Put equation iii into ii and this will be:

75x + 150y = 825

75x + 150(8 - x) = 825

75x + 1200 - 150x = 825

75x - 150x = 825 - 1200

-75x = -375

x = 375/75

x = 5

He saved $75 5times from his paycheck.

4 0
3 years ago
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