Question

If 167 cm2 of leather is stitched together to make a baseball, what is the radius of the baseball?

Answer 1

The radius of the baseball is 3.65 cm

Mensuration

From the question, we are to calculate the radius of the baseball.

A baseball is spherical.

From the given information,

167 cm² of leather is stitched together to make a baseball. This means the surface area of the spherical baseball is 167 cm².

From the formula for calculating the surface area of a sphere,

$S.A = 4\pi r^{2}$

Where r is the radius of the sphere

Then, we can write that

$167 = 4 \pi r^{2}$

$r^{2} =\frac{167}{4\pi}$

$r^{2} = 13.2894$

Then,

$r = \sqrt{13.2894}$

$r = 3.65 \ cm$

Hence, the radius of the baseball is 3.65 cm

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