Question

(b) The globe has a radius of 28.5 cm. Find the surface area of the globe. Round your answer to two decimal places. Use:
$4\pi \: r ^{2}$
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Answer 1

Answer:

$\boxed {\boxed {\sf 10,207.03 \ cm^2}}$

Step-by-step explanation:

Surface area is the total area of the surface of an object. A globe is a sphere and the formula for calculating a sphere's surface area is:

$SA= 4 \pi r^2$

The radius (r) of the globe is 28.5 centimeters. Substitute this value into the formula.

• r= 28.5 cm

$SA= 4 \pi ( 28.5 \ cm)^2$

Solve the exponent. Multiply the number by itself.

• (28.5 cm)²= 28.5 cm * 28.5 cm = 812.25 cm²

$SA= 4 \pi (812.25 \ cm^2)$

Multiply 4, pi and 812.25 centimeters together.

$SA= 12.56637061 (812.25 \ cm^2)$

$SA= 10207.03453 \ cm^2$

Round to two decimal place or the hundredth place. The 4 in the thousandth place to the right (10207.03453) tells us to leave the 3 in the hundredth place (10207.03453).

$SA \approx 10207.03 \ cm^2$

The surface area of the globe is approximately 10,207.03 centimeters squared.