7. Find the volume of space consumed by the toilet paper without the center cylinder. 4cm
SHOW YOUR WORK!
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14cm
12 cm
I
Volume

7. 1583.36 cm³

8. 13,627.18 m³

Step-by-step explanation:

Volume of space consumed by the paper = volume of outer cylinder - volume of center cylinder

✔️Volume of Outer Cylinder:

Volume = πr²h

r = ½(12) = 6 cm

h = 14 cm

Volume = π*6²*14

Volume = 1583.36 cm³

✔️Volume of center cylinder:

Volume = πr²h

r = ½(4) = 2 cm

h = 14 cm

Volume = π*2²*14

Volume = 175.93 cm³

✅Volume of space of the toilet paper = 1583.36 - 175.93 = 1583.36 cm³

8. Volume of the solid = volume of the cone + volume of the cylinder

✔️Volume of the cone = ⅓πr²h:

r = 13 m

h = 14 m

V = ⅓*π*13²*14

V = 2,477.67 m³

✔️Volume of the cylinder = πr²h

r = 13 m

h = 21 m

V = π*13²*21

V = 11,149.51 m³

✅Volume of the solid = 2,477.67 + 11,149.51 = 13,627.18 m³