Question

I have 2 geometry questions:

Answer 1

Solutions 

A sphere has a radius of 7.5 ft. To find the volume we need to use this equation ≥ v=4/3πr³.   

π = ( 3. 14) 

r = 7.5 

Calculations 

v=4/3πr³ 

v=4/3π ( 7.5 x 7.5 x 7.5 ) 

v=4/3π  (421) 

v=4/3 (3.14) (421) 

v=4/3 (1321) 

v=1.3 (1321) 

v = 1717.3. 

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Solutions 

A storage tank holds 235,500 in³ of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical containers, each with a radius of 5 inches. 

To solve this problem we have to use this equation - V = πr²h. We know the radius is 5 and the volume is 235,500³. 

Calculations 

V = πr²h 
235,500³ = (3.14)(5)²)h
235,500³ = (3.14) (25))h
235,500³ = 78.5

$\frac{235,500}{78.5}$ $\frac{78.5}{78.5}$ 

235,500 ÷ 78.5 = h 

h = 3000