Answer:
Radius = 8.575 cm
Step-by-step explanation:
Formula for volume of a pyramid is;
V_p = ½Ah
Where A is area of base and h is height
Also, formula for volume of cone is given as;
V_c = ⅓πr²h
Now, we are told that V_p = V_c and that h is the same for both shapes.
Thus ;
½Ah = ⅓πr²h
h will cancel out to give;
½A = ⅓πr²
Cross multiply to give;
3A/2π = r²
Base area of pyramid is given as 154 cm². Thus;
(3 × 154)/2π = r²
r = √((3 × 154)/2π
r = 8.575 cm
Answer:
36
2 x 18
2 x 2 x 9
2 x 2 x 2 x 3
Step-by-step explanation:
Answer: 12 minutes
Step-by-step explanation:
Two rates for hoses A and B. FP is the Fish Pond.
A = 20 min/FP or (1/20)FP/min
B = 30 min/FP or (1/30)FP/min
The time in minutes, X, to fill one FP:
1FP = X*((1/20)FP/min) + X*((1/30)FP/min)
1FP = X*(1/20+1/30)FP/min
1FP = X*(2.5/30)FP/min
X = 12 minutes
To test for a triangle, the two smallest sides added together have to be greater than the third side.
3.95 + 4.56 > 8.65
8.51 > 8.65
this is false
4.56 + 8.65 > 10.31
13.21 > 10.31
could be it
4.56 + 8.65 > 13.21
13.21 > 13.21
no, this would mean they're equal
4.56 + 8.65 > 20.25
13.21 > 20.25
this is also false
<span>B. 10.31 cm
</span>
