A bowl is the shape of a hemisphere and made out of thick clay. The diameter of the outside bowl is 44.6 cm. And the diameter of
the inside bowl is 41.6 cm.
a) If the bowl is filled up to the top, find how much soup could it hold?
b) Calculate the volume of clay that is needed to make a single bowl?
c) Six bowls are to be packed in a box side by side. The boxes dimensions are 22.5 cm by 90 cm by 135 cm. Sawdust packing is put in the box. What volume of the sawdust packing is needed?
a) If the bowl is filled up to the top, find how much soup could it hold?
b) Calculate the volume of clay that is needed to make a single bowl?
c) Six bowls are to be packed in a box side by side. The boxes dimensions are 22.5 cm by 90 cm by 135 cm. Sawdust packing is put in the box. What volume of the sawdust packing is needed?
1 answer:
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Answer:
0.14 s
Step-by-step explanation:
s = -2.7 t² + 40t + 6.5
Let s = 12
12 = -2.7t² + 40t + 6.5 Subtract 12 from each side
-2.7t² + 40t + 6.5 - 12 = 0
-2.7t² + 40t - 5.5 = 0
Apply the <em>quadratic formula </em>
a = -2.7; b = 40; c = -5.5
x = 7.41 ± 7.27
x₁ = 0.14; x₂ = 14.68
The graph below shows the roots at x₁ = 0.134 and x₂ = 14.68.
The Moon’s surface is at -12 ft. The ball will be 12 ft above the Moon’s surface (crossing the x-axis) in 0.14 s.
The second root gives the time the ball will be 12 ft above the Moon’s surface on its way back down.
