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3 years ago

Use the diagram shown to find the volume of the sphere. Use 3.14 for pi. Round your answer to the nearest hundredth.

Mathematics

2 answers:

Tom [10]3 years ago

4 0

V=3.14*4/3*r^3
r=4/2=2
v=3.14*4/3*2^3=33.4933333
B

alukav5142 [94]3 years ago

4 0

Answer:

Option B. $33.49\ in^{3}$

Step-by-step explanation:

we know that

The volume of the sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=4/2=2\ in$ ----> the radius is half the diameter

substitute

$V=\frac{4}{3}(3.14)(2^{3})=33.49\ in^{3}$

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The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

<h3>How to determine the horizontal distance?</h3>

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet