Final answer:
The volume of the cylindrical jelly jar is calculated using the formula V = πr²h with the radius being half of the jar's diameter. Using 3.14 for pi and plugging in the measurements, the volume is found to be 235.5 cubic inches, which is the amount of jelly it can hold. so, option a is the correct answer.
Step-by-step explanation:
To calculate how much jelly a cylindrical jelly jar can hold, we need to find its volume. The formula for the volume V of a cylinder is V = πr²h, where r is the radius and h is the height. For a jar that is 5 inches across the top, the radius (which is half the diameter) is 2.5 inches. The height of the jar is given as 12 inches. Therefore, the volume of the jar can be calculated as:
V = π(2.5 inches)²(12 inches)
Using 3.14 for π, we substitute the values into the formula:
V = 3.14 × (2.5 inches)² × 12 inches
V = 3.14 × 6.25 in² × 12 in
V = 235.5 in³
Hence, the correct answer is option (a) 235.5 in³, which is the volume of the jelly jar rounded to the nearest tenth.