Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the surface area of this sphere? use π ≈ 3.14 and round your an…

Question

what is the surface area of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. image of a sphere with radius 1 yd square yards submit

Explanation:

Step1: Recall the formula for the surface area of a sphere.

The formula for the surface area \( S \) of a sphere is \( S = 4\pi r^2 \), where \( r \) is the radius of the sphere.

Step2: Identify the radius of the sphere.

From the diagram, the radius \( r \) of the sphere is 1 yard.

Step3: Substitute the values into the formula.

Substitute \( r = 1 \) and \( \pi \approx 3.14 \) into the formula:
\( S = 4\times3.14\times(1)^2 \)

Step4: Calculate the surface area.

First, calculate \( (1)^2 = 1 \). Then, \( 4\times3.14\times1 = 12.56 \).

Answer:

12.56