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:
y = 9 - 3x
Step-by-step explanation:
9x + 3y - 27 = 0 ( add 27 to both sides )
9x + 3y = 27 ( subtract 9x from both sides )
3y = 27 - 9x ( divide through by 3 )
y = 9 - 3x
Answer: 5
The Distance between the coordinates of two points is measured by distance formula.
Step-by-step explanation:
The Distance between the coordinates of two points P(x1,y1) and Q(x2,y2) is measured by
Distance PQ= 
(x2-x1)²+(y2-y1)²
So, the distance between (-1,4 ) and (2,0) can be calculated by
Distance= (2-(-1))²+(0-4)²
= (3)²+(-4)²
=9+16 = 25 as 25 = 5
Distance = 5
So the distance between the two coordinates is 5.
91 is the answer to your question:)
