Question

the height of a cylinder is 6 inches. the diameter of the circular base of the figure is 10 inches. what is the approximate surface area of the figure? use 3.14 for π and round to the nearest whole number. 251 square inches 267 square inches 345 square inches 415 square inches

Explanation:

Step1: Find radius of base

The diameter is 10 inches, so radius $r = \frac{10}{2} = 5$ inches.

Step2: Calculate lateral surface area

Lateral area formula: $2\pi rh$
$\text{Lateral Area} = 2 \times 3.14 \times 5 \times 6 = 188.4$ square inches

Step3: Calculate area of two bases

Area of one base: $\pi r^2$, so two bases: $2\pi r^2$
$\text{Area of Two Bases} = 2 \times 3.14 \times 5^2 = 2 \times 3.14 \times 25 = 157$ square inches

Step4: Sum for total surface area

Add lateral and base areas: $188.4 + 157 = 345.4$
Round to nearest whole number: $345$ square inches

Answer:

345 square inches