The sphere and the cylinder have the same heightbecause of this the height of the cylinder is equal to the diameter of the spherethe diameter of the sphere is 2*7=14 cm, so the height of the cylinder is also 14 cmthe radius of the cylinder is 7 cmV=∏*r^2*hV=3.14159*7^2*14V=3.14159*49*14V=3.14159*686V=2155.13074 cubic cm, or...V=(22/7)(7^2)(14) (22/7 is an approximation for pi)V=(22/7)(49)(14)V=(22)(7)(14)V=(22)(98)V=2156 cubic cm
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Answer:
2) no change to the graphs
3) x = 1.47, y = 4.71
coordinates at intersection = (1.47, 4.71)
Step-by-step explanation:
4x + 3y = 20
3x - 2y = -5
2) Declan's way:
8x + 6y = 40
9x - 6y = -15
No change in graphs
4x + 3y = 20, 3y = 20 - 4x multiply by 2: 6y = 40 - 8x
3x - 2y = -5, 2y = 3x + 5 multiply by 3: 6y = 9x + 15
then:
40 - 8x = 9x + 15
simplify:
add 8x to each side:
17x + 15 = 40
subtract 15 from each side:
17x = 25
x = 1.47
3y = 20 - 4x
substitute for x:
3y = 20 - 4(1.47)
reduce:
3y = 14.12
y = 4.71
Answer:
Step-by-step explanation:104