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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 

Guest Apr 12, 2018
edited by Guest  Apr 12, 2018
 #1
avatar+549 
+2

2.

Volume of cone = π * r^2 * h/3

volume of cone = π * 8^2 * 1.95/3

volume of cone = 131cm^3 (nearest whole number)

 

winkwinkwink

lynx7  Apr 12, 2018
edited by lynx7  Apr 12, 2018
 #2
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+1

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.

Guest Apr 12, 2018
edited by Guest  Apr 12, 2018
 #3
avatar+549 
+2

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

 

 

winkwinkwink

lynx7  Apr 12, 2018

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