To find the total volume of the toy ice cream, simply add the individual volumes of the cone and the half sphere. The volume of the cone is 1/3*πr²h. On the other hand, the volume of a sphere is 4/3*πr³. But since only half of the sphere was used, that would be 2/3*πr³. Thus, the total volume of the toy ice cream is:
V = 1/3*πr²h + 2/3*πr³, where
h is the height of the cone
r is the radius of the cone and the sphere. Since the sphere fits perfectly on top of the cone, they would have identical diameters. Having the same value for r, we can further simplify the equation by factoring
V = 1/3*πr² (h + 2r)
V = 1.05r²(h+2r)
Answer:
SAS
Step-by-step explanation:
I think the answer is SAS.
Answer:
- 1) y = (-2/3)x +2/3
- 2) y = (6/5)x -23/5
- 5) y = (-1/6)x +4/3
- 6) y = x -2
Step-by-step explanation:
A simple, mechanical way to do these (perpendicular lines) is ...
- replace any constant with 0
- swap the x- and y-coefficients, negating one
- for point (h, k), replace x with (x-h) and y with (y-k)
- solve for y (to get slope-intercept form)
1) 3x -2y = 0 . . . . . step 1
... 2x +3y = 0 . . . . step 2
... 2(x -1) +3(y -0) = 0 . . . . step 3
... 2x -2 = -3y . . . . eliminate parentheses, subtract 3y
... y = (-2/3)x +2/3 . . . . divide by the coefficient of y
2) 6(x -3) -5(y +1) = 0 . . . . after step 3
... 6x -23 = 5y . . . . . . . . . . simplify, add 5y
... y = (6/5)x - 23/5 . . . . . divide by the coefficient of y
5) (x+4) +6(y-2) = 0 . . . . . after step 3
... x -8 = -6y . . . . . . . . . . . simplify, subtract 6y
... y = (-1/6)x +4/3 . . . . . . divide by the coefficient of y
6) (y +5) = (x +3) . . . . . . . after step 3
... y = x -2 . . . . . . . . . . . . subtract 5
Answer:
what ?
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Find P(X > 67)
using ( x - mean )/ standard deviation again you will get thi(1) which is equal to 0.8413....
0.8413 x 5000 is 4207