find the volume

Question

Find the volume of the figure when d = 6 cm.

 For calculations involving 𝜋, give both the exact value and an approximation to the nearest hundredth of a unit.

sphere

cylinder

Find the volume of the figure. For calculations involving 𝜋, give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 12 and h = 12.

The diameter of the base of a cylinder is 24 cm. The height of the cylinder is 18 cm. Find the volume of the cylinder. Round to the nearest hundredth of a cubic centimeter.

 

Find the volume of the figure. For calculations involving 𝜋, give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 12

 and h = 18.

 

 

 

Answer 1

Volume of a cylinder= V = hpir^2 = 12pi(12/2)^2 =12(36)pi= 432pi cubic units

= about 432(3.1416)= 1357.17 un^3

if diameter and height both = 12

radius = half diameter = 12/2 = 6

for diameter =24, height =18

V= 18pi(24/2)^2 = 18(144)pi = 2592pi units^3

= 8143.03 un^3

no figures shown for 1st & last problems, but it looks like they're a sphere and a cylinder

Volume of a sphere = V = (4/3)pir^3 = (4/3pi(d/2)^3 = (4/3)(3^3)pi = 36pi cm^3

= about 36(3.1416) = 113.10 cm^3

last problem d= 12, h= 18

V= hpi(d/2)^2 = 18pi(12/2)^2 = 18(36)pi = 648pi un^3

= about 648(3.1416) = 2035.76 un^3

odds are you intended units = centimeters

if so replace un with cm