3 years ago

Determine the length of the model. -60 ft- 1 in. = 8 ft =

Mathematics

1 answer:

Stells [14]3 years ago

3 0

Length of the model = 11.6 inch

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A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere

SOVA2 [1]

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

$V=\pi r^2h$

Substitute the given values.

$48=\pi r^2r$ (since r = h)

$48=\pi r^3$

$48=3.14 \times r^3$

Divide by 3.14 on both sides.

$$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}$

$$15.28=r^3$

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

Sphere and cylinder have same radius and height.

Volume of sphere:

$$V=\frac{4}{3} \pi r^3$

$$V=\frac{4}{3} \times 3.14 \times (2.48)^3$

$V=63.85$

The volume of the sphere is 63.85 cm³.

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4 years ago

If f(x)=5x-1, then f^1(x)=

nordsb [41]

Answer:

(y+1)/5

Step-by-step explanation:

you meant f^-1(x) ?

let y= 5x-1

Make x subject of formula

y+1=5x

x=(y+1)/5

f^-1(x)=(x+1)/5 replace y by x

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The distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?

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11,2 is the answer i believe

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