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Troyanec [42]
3 years ago
13

Find the product. Somebody please help

Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0
The correct answer for this is 13,176

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See the picture below
mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}

radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

Now, Volume of Cone = \frac{1}{3}\pi r^2 h

Where radius is 4 and height is 10, so,

Volume of Cone = \frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0
3 years ago
Write 8 * 10^-7 in standard form<br> 8*10^-7 =____
tino4ka555 [31]

Answer:

  • 0.0000008

Step-by-step explanation:

<u>Given</u>

  • 8*10^-7

<u>Converted to standard form</u>

  • 8*10^-7 = 8*0.0000001 = 0.0000008
4 0
3 years ago
Read 2 more answers
Evaluate the mean of each data set mentally.<br> 61, 71, 81, 91, 101
goldfiish [28.3K]

Answer:

10

Step-by-step explanation:

they each go by ten

4 0
3 years ago
Line<br> A.<br> C.<br> D.<br> B.<br> Defined<br> Postulates<br> Theorems<br> Undefined<br> Terms
oksian1 [2.3K]

Answer: Undefined

Step-by-step explanation:

In geometry there are three  undefined terms that we use to define other terms:

  • Point → In geometry a point has a location but no dimension.
  • Plane →  A plane extends is a 2-dimensional surface that extends infinitely on both sides.
  • Line → A line is a one-dimensional undefined figure that extends infinitely in both the directions. It has length but has no width.

Hence, the correct option is "Undefined".

8 0
3 years ago
FYI, I don't have many points.
zimovet [89]

Answer:

ok i see that question it would be 3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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