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timama [110]
3 years ago
7

A circle has a radius of 5 inches. What is the area of the sector formed by a central angle measuring 1.5 radians?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
We know that

[area of a circle]=pi*r²
r=5 in
[area of a circle]=pi*5²---------> 78.5 in²

if 2pi radians ( full circle) has an area of-------------------> 78.5 in²
1.5 radians------------------------------------------> X
X=1.5*78.5/2pi---------> 18.75 in²

the answer is
<span>the area of the sector formed by a central angle is </span>18.75 in²
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A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea
erma4kov [3.2K]

Answer:

the volume of the sphere is

33.51 in^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

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since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

v= l*b*h

v=l^{3}

64= l^{3}

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also diameter d=length l

Diameter d=  4in

Radius r =  \frac{d}{2}= \frac{4}{2}= {2 in}

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