7. Find the volume of space consumed by the toilet paper without the center cylinder.
4cm
SHOW YOUR WORK!
*
14cm
12 cm
I
Volume
Answers
Answer:
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
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Step-by-step explanation:
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Answer:
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__
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_____
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[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]
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[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
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