Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder = (where r is the radius and h is the height)
Radius = diameter ⇒
⇒ volume of round cake pan =
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism = (where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume
Answer:
Amount of fencing required = 75 yards
Step-by-step explanation:
Distance between the two points and
is given by the formula,
d =
Distance between A(3, 6) and B(3, -2) =
= 8 yards
Distance between B(3, -2) and C(-7, 4) =
=
= 11.66 ≈ 12 yards
Distance between C(-7, 4) and D(-7, -2) =
= 6 yards
Distance between D(-7, -2) and E(-3, -2) =
= 4 yards
Distance between E(-3, -2) and F(-3, -8) =
= 6 yards
Distance between F(-3, -8) and G(3, -8) =
= 6 yards
Distance between G(3, -8) and H(10, -12) =
=
=
= 8.06 ≈ 8 yards
Distance between H(10, -12) and J(10, 6) =
= 18 yards
Distance between A(3, 6) and J(10, 6) =
= 7 yards
Since length of fence required = perimeter of the flat area
Perimeter of the given area = 8 + 12 + 6 + 4 + 6 + 6 + 8 + 18 + 7
= 75 yards
Therefore, amount of fencing required = 75 yards
