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What is the volume, in cubic 
cm, of a cylinder with a height of 
18cm and a base radius of 
9cm, to the nearest tenths place?
Answer: 
V=◻cm^(3)

What is the volume, in cubic cm \mathrm{cm} , of a cylinder with a height of 18 cm 18 \mathrm{~cm} and a base radius of 9 cm 9 \mathrm{~cm} , to the nearest tenths place?\newlineAnswer: V=cm3 V=\square \mathrm{cm}^{3}

Full solution

Q. What is the volume, in cubic cm \mathrm{cm} , of a cylinder with a height of 18 cm 18 \mathrm{~cm} and a base radius of 9 cm 9 \mathrm{~cm} , to the nearest tenths place?\newlineAnswer: V=cm3 V=\square \mathrm{cm}^{3}
  1. Volume Formula: To find the volume of a cylinder, we use the formula V=πr2hV = \pi r^2 h, where VV is the volume, rr is the radius of the base, and hh is the height of the cylinder.
  2. Square Radius Calculation: First, we need to square the radius of the base. The radius is 9cm9\,\text{cm}, so squaring it gives us 92=81cm29^2 = 81\,\text{cm}^2.
  3. Multiply by Height: Next, we multiply the squared radius by the height of the cylinder. The height is 18cm18\,\text{cm}, so we calculate 81cm2×18cm=1458cm381\,\text{cm}^2 \times 18\,\text{cm} = 1458\,\text{cm}^3.
  4. Multiply by Pi: Now, we need to multiply this result by π\pi (pi), which is approximately 3.141593.14159. So, we calculate 1458cm3×π1458cm3×3.141591458 \, \text{cm}^3 \times \pi \approx 1458 \, \text{cm}^3 \times 3.14159.
  5. Final Calculation: Performing the multiplication gives us approximately 4582.0742cm34582.0742 \, \text{cm}^3.
  6. Round to Nearest Tenth: Finally, we round the result to the nearest tenth place, which gives us 4582.1cm34582.1\,\text{cm}^3.

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