Mathematics: Afountain takes the shape of a half sphere with diameter 10 feet that sits, flat side down, in the center of a round brick-paved patio of diameter 100 feet. what is the area of the portion of the patio that is left uncovered?

Afountain takes the shape of a half sphere with

Ответ:

ineedhelp2285

06.01.2022

1. Check the picture below. It illustrates an upper view of the fountain, which forms a circle with radius 5 ft, and the patio, with radius equal to 50 ft.

2. Area(fountain)=Area(Circle with radius 5)= $\pi * 5^{2}=25 \pi$ (ft squared)

Area(patio)= Area(Circle with radius 50)= $\pi * 50^{2}=2500 \pi$ (ft squared)

3. Area (uncovered) = Area(patio)-Area(fountain)= $2500 \pi-25 \pi=2475 \pi$ (ft squared)

$2475 \pi$ ft squared
Afountain takes the shape of a half sphere with diameter 10 feet that sits, flat side down, in the c