Through:(2,-5),slope=3/2

Mathematics

1 answer:

Rainbow [258]3 years ago

8 0

Are you trying write it into slope intercept form ?

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A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

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Find Radius :
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$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

$r = 3.22 \ cm$

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Find volume of the cylinder :
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$\text {Volume of the cylinder = } \pi r^2h$

$\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)$

$\text {Volume of the cylinder = } 209.77 \ cm^3$

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Find volume of the gap :
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$\text {Volume of gap = } 209.77 - 140$

$\text {Volume of gap = } 69.77 \ cm^3$

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$\bf \text {Answer : } 69.77 \cm^3$
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6 0

4 years ago

Use the net as an aid to compute the surface area of the triangular prism. A) 112 m2 B) 136 m2 C) 160 m2 D) 184 m2

Aloiza [94]

Answer:

136 m2 Option c

Step-by-step explanation:

136 m2

1 base = 6 × 7 = 42

2 sides = 2(7 × 5) = 70

2 triangles = 2(6 × 4

) = 24