Answer:
7238 cm³
Step-by-step explanation:
The radius of the great circle is the radius of the sphere.
The formula for the volume of a sphere is
V = ⁴/₃πr³
V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³
6/12 + 6/12 = 1
1/2 = 6/12
Answer:
Lateral Surface Area = 472 m²
Total Surface Area = 486m²
Step-by-step explanation:
The above prism is a Triangular prism
a) Lateral Surface Area = Perimeter of the Base × H
H = 29m
Perimeter of the Base = (7m + 7.28m + 2m)
= 16.28m
Lateral Surface Area = 16.28m × 29m
= 472.12 m²
Approximately to the nearest whole number = 472 m²
b) Total Surface Area
Triangular prism =
2 Triangles and 3 Rectangles
1st Triangle = 1/2 × base × Height
= 1/2 × 2m × 7m
= 7m²
2nd Triangle = 1/2 × base × height
= 1/2 × 2m × 7m
= 7m²
1st Rectangle = Length × Width
= 29m × 2m = 58m²
2nd Rectangle =
Length × Width
= 29m × 7.28m = 211.12m²
Length × Width
= 29m × 7m = 203m²
Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²
= 486.12m²
Approximately to the nearest whole number = 486 m²
Option A is the correct option
Answer:
y = 23x - 6
Step-by-step explanation:
The formula for line is y = mx + b
m is the slope, so plug in 23
b is the y intercept, so plug in -6
So it would be y = 23x + (-6), which simpify into y = 23x - 6
0.3 inches per hour, if I did the math correctly.