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BabaBlast [244]
3 years ago
9

Hershey’s is making pumpkin-shaped chocolates for Halloween. These are spherically formed with a radius of 2 cm. What is the min

imum surface area needed for packaging? What is the volume? (leave pi in the answer ex. 2pi) How does surface area compare to the volume? (Sa/V and reduce)
Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

Answer:

Sa = 1.5*V

Step-by-step explanation:

We have that the surface area of a sphere has the following formula:

Sa = 4*pi*r^2

we know that r = 2, so if we replace it, we're left:

Sa = 4*pi*(2^2)= = 4*pi*4

Sa = 16*pi

Now, the volume has the following formula:

V = 4/3*pi* r^3

Replacing it is our job:

V = 4/3*pi* (2^3) = 4/3*pi*8

V = 32/3*pi

Now, Sa/V, it would remain:

Sa/V = 16*pi / 32/3*pi

Sa/V = 48/32 = 1.5

Therefore, Sa = 1.5*V

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Melissa is making clothes for her dolls. She has 7/8 yard of fabric. Each doll shirt requires 2/7 of a yard of fabric. How many
igor_vitrenko [27]

Answer:

She can make three shirts and will have 7/56 left.

Step-by-step explanation:

49/56-14/56=35/56 (one shirt) 35/56-14/56=21/56 (two shirts) 21/56-14/56=7/56 (three shirts)

8 0
3 years ago
What happens when warm air collides with cold air and is forced to rise over cold dome.
igor_vitrenko [27]

Answer:

Something to raise the moist air to form the clouds and cause precipitation. An example of lift is warm air colliding with cold air and being forced to rise over the cold dome. The boundary between the warm and cold air masses is called a front.

Step-by-step explanation:

6 0
3 years ago
A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the r
pochemuha

Answer:

15360\,\,rupees

Step-by-step explanation:

Let sides of the triangle be a,b,c

a=40\,,\,b=24\,,\,c=32

Semi-perimeter (s) = \frac{a+b+c}{2}

=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48

Area of one tile =\sqrt{s(s-a)(s-b)(s-c)}

=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2

So,

Area of 20 tiles =20(384)=7680\,\,cm^2

Cost of polishing the floor at the rate of 2 rupees per sq.cm = 7680(2)=15360\,\,rupees

7 0
3 years ago
keisha's grandmother gave her a doll that paid $6 for 60 years ago. the doll's current value is $96. its value doubles every 15
kodGreya [7K]
The answer is $1536 I believe
6 0
3 years ago
Please help please please
hammer [34]

Answer:

A. The lines stay parallel

Step-by-step explanation:

Rigid transformations do not change angle or line relationships. When the parallel lines are rotated they stay parallel. Reflecting them will keep them parallel. If this were not true, then figured with parallel lines like rectangles and squares would change shape when reflected.

4 0
3 years ago
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