The complete question in the attached figure
we know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
<span>let's assume that the center of the sphere is at the origin
</span>so
(h,k,l)-------> (0,0,0)
for r=16 m
(x-h)²+(y-k)²+(z-l)²=r²--------> (x)²+(y)²+(z)²=16²
for z=9 m
(x)²+(y)²+(9)²=16²--------> (x)²+(y)²=256-81--------> (x)²+(y)²=175
the radius of the circle is r=√175 m
so the area of the circle A=pi*r²-----> A=pi*175-----> A=549.5 m²
the answer is the area of the circle is 549.5 m²
Answer:
3360000
Step-by-step explanation:
Answer: The radius of the new water tower is approximately 21 ft^3
Step-by-step explanation:
So we know the volume of the Water Tower is 66840 ft^3 and the new one's volume will hold 3/5 as much. so you will multiply 66840 by 3/5 to find the volume of the new one.
66840 * 3/5 = 40104 so the new water tower will hold 40104 cubic feet of water.
Now to find the radius we will use the formula v= 4/3
r^3
40104 = 4/3 *
* r^3
40104= 4.1887* r^3
r= 21
Answer:
6 and 7
Step-by-step explanation:
6 plus 7 is equivalent to 13 and 6 times 7 is equivalent to 42. 13 plus 29 is equivalent to 42.
Answer:
x² + (y-74)² = 4900
Step-by-step explanation:
Circle equation: (x-h)² + (y-k)² = r²
"h" refers to horizontal shifts while "k" refers to vertical shifts. If the center of the wheel is directly above the origin of the rectangular plane and the entire wheel is 4 ft. from the ground then:
- h = 0
- k = 74 (the radius + 4 ft.)
- r = 70
So plugging those into the equation of circles, we get the answer above.