Answer:
look at the explanation
Step-by-step explanation:
A cylindrical container has a height of 14 inches and radius of 3.2 inches. It is filled with pasta, but there is 1.5 inches of space left at the top. How many cubic inches of pasta are in the container?
1. Given
h = 14 in
r = 3.2 in
space = 1.5
V pasta = πr² (h - space)
V pasta = π(3.2)² (14 - 1.5)
V pasta = 402.12 in³
Izzie has a muffin tin that holds 12 muffin cups. Each cup is cylindrical with a diameter of 3 inches and a height of 3.5 inches. Izzie has 544.28 cubic inches of batter. How many muffins can she bake?
2. Given
h = 3.5 in
d = 3 in
V batter = 544.28
V muffin = πd²h/4
V muffin = π(3)²(3.5)/4
V muffin = 24.74 in³
# of muffin = V batter/ V muffin
# of muffin = 544.28/ 24.74 = 22
so she can bake 22 muffins
A popsicle tray has 6 cone-shaped popsicle molds. Each popsicle mold has a diameter of 5.4 cm and a height of 12.9 cm. How many cubic centimeters will one tray hold?
3. Given
d = 5.4 cm
h = 12.9 cm
6 cone-shaped popsicles per tray
V popsicle = πd²h/12
V popsicle = π(5.4)²(12.9)/12
V popsicle = 98.48cm³
V popsicle per tray = (98.48cm³) (6)
V popsicle per tray = 590.88cm³
A cone has a volume of 1,230.88 units³ and a diameter of 14 units. How many units is the height of the cone? Use 3.14 for pi.
4. Given
V cone = 1,230.88 units³
d = 14 units
V cone = πd²h/12
h = 12V cone/πd²
h = 12(1230.88)/ (3.14) (14)²
h = 24 units
A cylinder has a volume of 7,598.8 units³ and a height of 5 units. How many units is the diameter of the cylinder? Use 3.14 for pi.
5. Given
V cylinder = 7,598.8 units³
h = 5 units
V cylinder = πd²h/4
d = √4V cylinder/πh
d = √4(7598.8)/3.14(5) = √1936
d = 44 units
Jana and Haiya are each filing a witch's hat in the shape of a cone with candy. Each hat has a radius of 3.4 inches and height of 12.5 inches. How many cubic inches of candy will both hats hold?
6. Given
r = 3.4 in
h = 12.5 in
V hat = πr²h/3
V hat = π(3.4)²(12.5)/3
V hat = 151.32 in³
V two-hats = 2(151.32 in³ )
V two-hats = 302.64 in³
George has 1 ½ containers of toothpaste in the shape of a cylinder. Each container has a diameter of 4 cm and a height of 15 cm. How many cubic centimeters of toothpaste does he have?
7. Given
d = 4 cm
h = 15 cm
V container = πd²h/4
V container = π(4)²(15)/4
V container = 188.496 cm³
V toothpaste = 1.5V container = 1.5(188.496 cm³)
V toothpaste = 282.74 cm³
A cone has a diameter of 16 units and a height of 11 units. How many cubic units is the volume of the cone?
8. Given
d = 16 units
h = 11 units
V cone = πd²h/12
V cone = π(16)²(11)/12
V cone = 737.23 units³
