What is the equation for the relationship
1 answer:
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Given:
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.
To find:
The volume of the figure.
Solution:
Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.
Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.
If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.
Volume of a cone is
where, r is radius of the base and h is vertical height of the cone.
Putting r=6 and h=9, we get
Therefore, the volume of the figure is sq. units.
Answer:
Option A is correct.
10 square centimeters.
Step-by-step explanation:
Complete Question
The complete Question is attached in the first attached image.
Lydia cut out her initial from a piece of construction paper. How many square centimeters of construction paper are used to make Lydia's initial?
A) 10 square centimeters
B) 11 square centimeters
C) 15 square centimeters
D) 22 square centimeters
Solution
From the second attached image, it is evident that we can split the L-shaped figure into two rectangles of dimensions (3 cm by 1 cm) and (7 cm by 1 cm)
The total area of the figure is thus
(3 × 1) + (7 × 1) = 10 cm²
Hope this Helps!!!
