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cricket20 [7]
2 years ago
11

6. Find the area shaded.

Mathematics
1 answer:
Rufina [12.5K]2 years ago
7 0

Answer:

shaded area = total area - the two triangles areas

total area = 5*9 = 45 cm²

first tri area = 1/2 * h *b

= 0.5 * 5 * 2 = 5 cm²

second tri area = 0.5 * 6 * 5 = 15 cm²

shaded area = 45 - 15 - 5 = 25 cm²

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The volume of sphere is increaseing
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<em>A</em> = 4<em>π</em> <em>r</em> ²

Differentiate <em>A</em> with respect to <em>t</em> :

d<em>A</em>/d<em>t</em> = 8<em>π</em> <em>r</em> d<em>r</em>/d<em>t</em>

<em />

You're given that the volume is increasing at a constant rate, d<em>V</em>/d<em>t</em> = 10 cm³/s, so

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d<em>A</em>/d<em>t</em> = 20/<em>r</em> cm³/s

At the moment the radius is <em>r</em> = 5 cm, the surface area is increasing at a rate of

d<em>A</em>/d<em>t</em> = 20/(5 cm) cm³/s = 4 cm²/s

When the surface area is increasing at a rate of d<em>A</em>/d<em>t</em> = 2 cm²/s, the radius <em>r</em> is such that

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