



 
Hi Taylor, The semi circular room has a diameter of 60 feet so its radius is 60/2 = 30 feet. The area of a circle of radius 30 feet is π × 302 = 900 π square feet. The room is only half this size so its area is 450 π square feet. Since π is approximately 3.1416 this is 450 × 3.1416 = 1413.7 square feet. The cost to lay the carpet is $2.57 for every square foot so what will the cost be? The room is the shape of a right, semi circular cylinder. Right means the walls are at a right angle to the floor and semi circular means the base is a semi circle. The volume is the area of the base times the height. Since your measurements are in feet the volume will be in cubic feet. Penny Taylor, (1) theoretically, total cost is area x cost per unit area  


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