10 points for question answered correctly and work shown
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2. 1648.5 ft³

3. 33493.3 cm³

Step-by-step explanation:

Volume of a cylinder is given by the equation;

v=r²h

v=3.14×5×5×21=1648.5 ft³

Volume of a sphere is given by

4/3 r³

v= 4/3 ×3.14×20³ =33493.3 cm³

where r=radius and h=height

Question 1:

For this case we have that by definition, the volume of a cylinder is given by:

Where:

A: It's the radio

h: It's the height

In this case we have to:

Since the diameter is 10ft, then

Substituting:

Thus, the volume of the cylinder is

Question 2:

For this case we have that by definition, the volume of a sphere is given by:

Where:

A: It's the radio

We have to:

Substituting:

Rounding:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

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