The solid shown is constructed from a cylinder and two hemispheres with dimensions as shown. Find the volume of this solid to the nearest cubic unit.

Volume of solid = 10,466.67 unit² (Approx)

Step-by-step explanation:

Given:

Height of cylinder = 20 unit

Radius of hemisphere = 10 unit

Radius of cylinder = 10 unit

Two hemisphere = 1 sphere

Find:

Volume of solid.

Computation:

Volume of solid = Volume of cylinder + Volume of sphere

Volume of solid = πr²h + 4 /3[πr]³

Volume of solid = π[r²h + (4 /3)(r)³]

Volume of solid = 3.14[(10)²(20) + (4 /3)(10)³]

Volume of solid = 3.14[2,000 + 1333.34]

Volume of solid = 10,466.67 unit² (Approx)

the first one, all those points on the line just make a strait line.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: