Answer:
Volume of the rolling pin = 246.09
Step-by-step explanation:
Length of larger cylinder L = 12 in
Diameter of larger cylinder D = 5 in
Diameter of two handles = 1.5 in
Length of two handles = 3 in
Volume of the rolling pin = Volume of two handles + Volume of larger cylinder
Volume of two handles = 2 ()
Volume of two handles = 2 (3.14 × × 3 )
Volume of two handles = 10.59
Volume of larger cylinder = ()
Volume of larger cylinder = (3.14 × × 12 )
Volume of larger cylinder = 235.5
Volume of the rolling pin = 10.59 + 235.5
Volume of the rolling pin = 246.09
Answer:
The amount to be repaid is $379.26.
Step-by-step explanation:
Period of note from May 1 to December 19 = 233 days
Amount of note or principal = $1,000
Simple interest rate = 8.5%
Maturity date = December 19
Repayments:
June 2 = $475
Nov. 4 = $200
Total paid $675
Simple interest = $54.26 ($1,000 * 8.5% * 233/365)
Total amount to be repaid = $1,054.26
Total amount repaid = 675.00
Balance to be paid on maturity $379.26
Answer:
Step-by-step explanation:
Stephen uses kilograms of tofu in each serving of his dish.
He has kilograms of tofu.
We want to determine how many servings Stephen can make.
To do this, we divide the total weight of tofu by the weight per serving.
Stephen can make .
The volume of the given trapezoidal prism is 312 cubic units.
Step-by-step explanation:
Step 1:
To find the volume of a trapezoidal prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area of a trapezoidal surface,
a and b are the lengths of the upper and lower bases and h is the height of the trapezoid.
For the given trapezoid, a is 5 units long and b is 8 units long while height, h is 4 units.
The area of the trapezoidal surface,
So the area of the trapezoidal surface is 26 square units.
Step 2:
To determine the volume of the prism, we multiply the area of the trapezoidal surface with the height of the prism.
The area is 26 square units and the height of the prism is 12 units.
The volume of the prism,
The volume of the given trapezoidal prism is 312 cubic units.