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Leviafan [203]
3 years ago
10

What is the volume of a hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer:

The volume of the hemisphere is 1071.78\ ft^3.

Step-by-step explanation:

We have,

The diameter of a hemisphere is 8 ft. It is required to find its volume.

The formula of the volume of hemisphere is given by :

V=\dfrac{2}{3}\pi r^3

r is radius of hemisphere

Here, r = 4 ft

So,

V=\dfrac{2}{3}\times 3.14\times (8)^3\\\\V=1071.78\ ft^3

So, the volume of the hemisphere is 1071.78\ ft^3.

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Eight children equally share 5 apples. How much of one apple is in each share?
Vinil7 [7]
5 divided by 8 is 5/8 or .625, so each get 5/8 or.625 of an apple

8 0
3 years ago
Complete the following two-way frequency table.
Lera25 [3.4K]

Answer:

Step-by-step explanation:

Number of candies with Forest = 12

Candies containing coconut and chocolate both = Number common in coconut and the chocolate = 3

Candies which do not contain coconut but contain the chocolate = 6

Candies which contain the coconut but do not contain the chocolate = 1

Candies which neither contain the chocolate nor coconut = 2

From the given Venn diagram,

                                                Contain coconut         Do not contain coconut

Contain chocolate                              3                                       6

Do not contain chocolate                 1                                        2

6 0
3 years ago
the sum of two numbers is 3 3/4 if 1/3 of the larger number is 1/2 more than 2/3 of the smaller find the number
Agata [3.3K]
Let us assume the larger number = x
Let us assume the smaller number = y
Then
x + y = 3 3/4
x + y = 15/4
And
x/3 = (2y/3) + 1/2
x = [3 * (2y/3)] + (3/2)
  = 2y + (3/2)
Now putting the value of x from the second equation to the first , we get
x + y = 15/4
2y + (3/2) + y = 15/4
3y = (15/4) - (3/2)
3y = (15 - 6)/4
3y * 4 = 9
12y = 9
y = 9/12
   = 3/4
Now putting the value of y in the first equation, we get
x + y = 15/4
x + (3/4) = (15/4)
x = (15/4) - (3/4)
   = (15 - 3)/4
   = 12/4
   = 3
So the value of x or the larger number is 3 and the value of y or the smaller number is 3/4.
3 0
2 years ago
Solve the formula for the area of a triangle A = (1/2) bh for height h
Hitman42 [59]
A = (1/2) bh for height h

2A = bh

first multiply both sides by 2 then divide both sides by b

Area of triangle = (1/2)bh

A = (1/2)bh

2A = bh

h = 2A/b

110 = 1/2(11)h

110 = 5.5h

110/5.5 = 20

The answer Is H = 20

Hope this helps (:
4 0
3 years ago
The architect drew a design for the new kitchen. What is the area of the kitchen drawing?
nordsb [41]

Answer:

24

Step-by-step explanation:

Area of the kitchen = Area small rectangle + area large rectangle + area triangle

Area small rectangle = (8-4)*1.5

Area large rectangle = (8-4)* 3

Area triangle = (1/2)*base*height = (1/2)*4*3

Area of the kitchen = (8-4)*1.5 +  (8-4)* 3 + (1/2)*4*3 = 24 cm²

8 0
2 years ago
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