Question

calculating the lateral area of a cone
if the slant height of a right cone is 5 inches, and the radius of its base is 3 inches, what is the lateral area of the cone?
\boxed{\quad}\pi square inches

Explanation:

Step1: Recall lateral area formula

The lateral area of a right cone is given by $A = \pi r l$, where $r$ is the base radius and $l$ is the slant height.

Step2: Substitute given values

Substitute $r = 3$ inches and $l = 5$ inches into the formula:
$A = \pi \times 3 \times 5$

Step3: Calculate the coefficient

Multiply the numerical values:
$3 \times 5 = 15$

Answer:

15