each student in debs science class is making a model of one planet in our solar system. deb is making a…
each student in debs science class is making a model of one planet in our solar system. deb is making a model for venus. her model is a sphere, shown below. she plans to paint the entire surface of the model. what is the total area she needs to paint? round your answer to the nearest hundredth. square inches
Answer
Explanation:
Step1: Recall the surface - area formula for a sphere
The formula for the surface area of a sphere is $A = 4\pi r^{2}$, where $r$ is the radius of the sphere.
Step2: Identify the radius value
The radius of the sphere $r=4.5$ inches.
Step3: Substitute the radius into the formula
$A = 4\pi(4.5)^{2}=4\pi\times20.25 = 81\pi$.
Step4: Calculate the numerical value
Using $\pi\approx3.14159$, we have $A\approx81\times3.14159 = 254.46879$.
Step5: Round to the nearest hundredth
Rounding $254.46879$ to the nearest hundredth gives $A\approx254.47$.
Answer:
$254.47$