What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for Pi.)

V cone = one-third pi r squared h. V sphere = four-thirds pi r cubed.

A half sphere and cone. Both have a radius of 4 centimeters. The cone has a height of 15 centimeters.

150.72 cubic centimeters
276.32 cubic centimeters
385.17 cubic centimeters
519.15 cubic centimeters

The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

Step-by-step explanation:

The given is,

              Composite figure is combination of a  half sphere and cone

              Both have a radius of 4 centimeters

              The cone has a height of 15 centimeters

Step:1

   Volume of composite figure = Volume of half sphere + Volume of cone  

Step:2

     Formula for volume of semi sphere,

     Where, r - Radius of Half sphere,

     From given, r = 4 centimeters

                                                               (∵ = 3.14 )

                                      = 133.9733 cubic centimeters

     Formula for volume of cone,

     where, r - Radius of cone

                h - Height of cone

     From given,

                 r = 4 centimeters

                h = 15 centimeters

     Volume of cone,

                                                                (∵ = 3.14 )

                                                  cubic centimeters

Step:3

        Volume of composite figure =  133.9733 + 251.1997

       Volume of composite figure  = 385.17 cubic centimeters

Result:

         The volume of composite figure is 385.17 cubic centimeters, if a half sphere and cone have a radius of 4 centimeters and height of 15 centimeters.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

step-by-step explanation:

b and c