Using 3.14 for PI.
The radius of a ball and the can is half the diameter = 1.25
The height of the can is the height of 3 diameters = 7.5
Volume of one tennis ball:
4/3 x PI x 1.25^3 = 8.18 cubic inches.
Volume of 3 tennis balls: 3 x 8.18 = 24.54 cubic inches.
Volume of can:
PI x 1.25^2 x 7.5 = 36.80 cubic inches.
Space = 36.80 - 24.54 = 12.26 cubic inches.
Answer:
0.80589
Step-by-step explanation:
So all of the numbers of correct answers less than 4 are 0,1,2,3
We need to calculate the probability for each separately and then add them together.
To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.
The combination formula is: ! / (!(−)!)
So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.
For 0;
The combination is 1,
1 x 0.3^0 x 0.7^8-0 =
0.057648
For 1;
The combination is 8,
8 x 0.3^1 x 0.7^8-1 =
0.19765
For 2;
The combination is 28
28 x 0.3^2 x 0.7^8-2 =
0.296475
For 3;
The combination is 56
56 x 0.3^3 x 0.7^8-3 =
0.254122
All that’s left is to add these four numbers;
0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589
It's thirteen because it is too large.
Answer:
Surface area of the given figure = 48 cm^2
Step-by-step explanation:
Surface area is nothing area of all the sides.
We can find the area of each figure add them together.
There are two triangles with the same measures.
One rectangle with measure of 4 by 3.
Another rectangle with the measure of 5 by 3.
One square with the measure of 3.
Surface area = Area of two triangles + rectangle 1 + rectangle 2 + square
Formulas:
Area of the triangle = 1/2 base* height
Area of the rectangle = length * width
Area of the square = side x side
Applying the formula, we get
=2[1/2 (3*4)] + 4*3 + 5*3 + 3^2
= 12 + 12 + 15 + 9
Surface area of the given figure = 48 cm^2
Hope this will helpful.
Thank you.
Answer:
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