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ometry/unit/99/lesson/88\newlineCoursework\newlineEdrgent wall\newline99.88.1010 Check Your Understanding\newlineA cone has a slant height of 8 in8\,\text{in} and the radius of the base is 3 in3\,\text{in}. What is the lateral area, in square inches? Use π=3.14\pi=3.14, Round your answer to the nearest hundredth.

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Q. ometry/unit/99/lesson/88\newlineCoursework\newlineEdrgent wall\newline99.88.1010 Check Your Understanding\newlineA cone has a slant height of 8 in8\,\text{in} and the radius of the base is 3 in3\,\text{in}. What is the lateral area, in square inches? Use π=3.14\pi=3.14, Round your answer to the nearest hundredth.
  1. Identify Formula: Identify the formula for the lateral area of a cone.\newlineThe lateral area (LA) of a cone can be calculated using the formula LA=π⋅r⋅lLA = \pi \cdot r \cdot l, where rr is the radius of the base and ll is the slant height of the cone.
  2. Plug Given Values: Plug the given values into the formula.\newlineGiven: r=3r = 3 inches, l=8l = 8 inches, and π≈3.14\pi \approx 3.14.\newlineNow, substitute these values into the formula: LA=3.14×3×8LA = 3.14 \times 3 \times 8.
  3. Perform Multiplication: Perform the multiplication to find the lateral area. LA=3.14×3×8=9.42×8=75.36LA = 3.14 \times 3 \times 8 = 9.42 \times 8 = 75.36 square inches.
  4. Round Answer: Round the answer to the nearest hundredth.\newlineThe calculated lateral area is 75.3675.36 square inches, which is already rounded to the nearest hundredth.

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