The formula for volume of a cone is V = PI x r^2 x h/3 where r is the radius and h is the height.
Volume of cone = 3.14 x 7^2 x 12/3
Volume of cone = 3.14 x 49 x 4
Volume of cone = 615.44 cubic inches.
The formula for volume of half a sphere is : 1/2 x (4/3 x PI x r^3)
Volume for half sphere = 1/2 x (4/3 x 3.14 x 7^3)
= 1/2 x 4/3 x 3.14 x 343
= 718.01 cubic inches.
Total volume = 615.44 + 718.01 = 1333.45 cubic inches.
Rounded to the nearest tenth = 1,333.5 cubic inches.
Answer:
I got sin E = 0.5
Thus answer choice C being the correct choice
Hope this helps ;)
Step-by-step explanation:
Answer:
Length of arc AB is 14. So, option E is correct
Step-by-step explanation:
Circumference of circle == 56 cm
We need to find length of arc AB?
Formula used will be l = rФ
We know, C = 2πr
56 = 2πr
56/2π = r
=> r = 8.91
Ф = 90° = 1.57 radians
So, l= rФ
l = 8.91 * 1.57
l = 13.98 = 14
So, Option E is correct
1. The slope is y = 4x - 2 is 4
2. Slope of line parallel is 4
3. Y = 4x + b
5 = 4(-1) + b
5 = -4 + b, b = 9
The equation is y = 4x + 9