1. A community park is shaped like a trapezoid with a height of 30 yd, a top base of 25 yd, and a bottom base of 33 yd. The park has a circular fountain whose radius is 4 yd.
What is the area of the park without the fountain? do not round
Use 3.14 for pi.
Remember to show all calculations
2. A volcano in the approximate shape of a cone has a diameter of 16 km and a height of 1.95 km.
Which estimate best approximates the volume of the volcano? Use 3.14 for pi and round to nearest whole number.
Remember to show all calculations
1)
Area of a trapezoid =1/2[ a + b] x h
A =1/2[25 + 33] x 30
A =1/2[58] x 30
A =870 yards^2 - area of the park.
Area of the fountain =4^2 x 3.14
A. of fountain = 50.24 - yards^2
Area of the park minus the area of the fountain:
870 - 50.24 =819.76 yards^2.
+222 1.
area of trapezoid (park)
A = (a + b) ÷ 2 * h
A = (25 + 33) ÷ 2 * 30
A = (58) ÷ 2 * 30
A = 29 * 30
A = 870yd^2
area of circle (fountain)
A = π * r^2
A = π * 4^2
A = π * 16
A = 50yd^2 (nearest whole number)
area of park - area of founatin = area of the park without the fountain
870yd^2 - 50yd^2 = 820yd^2
