Mathematics: Agoat (point ) is tied with a 6-foot rope to the corner of a shed. the floor of the shed is a square whose sides are each 3 feet long. the shed is closed and the goat can t go inside. the space all around the shed is flat, grassy, and the goat can t reach any other structures or objects. what is the area over which the goat can roam?

Agoat (point ) is tied with a 6-foot rope to - id61271862, hannahbugwillia

Ответ:

Imanilh

14.03.2022

The area available to the goat is 3/4 of a circle with 6 ft radius plus 2/4 of a circle with 3 ft radius.

A = (3/4)π*(6 ft)² + (1/2)π*(3 ft)²
= π*((3/4)*36 +(1/2)*9) ft²
= 31.5π ft² ≈ 98.96 ft²

The goat can roam over an area of about 99 ft².

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Ответ:

huntertaleiya

22.10.2021

Mathematics

Volume of a sphere with radius of 70 feet is:
$V = \frac{4}{3} * \pi * r^{3}$

where r is that radius

Because we need quarter sized tank of that radius we need to divide formula for volume by 4

Than we get:
$V = \frac{1}{3} * \pi * r^{3}$

V = 359188,76

Rounded:
V = 359189

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