Volume of cone= 1/3 πr²*h
15²=10²+h²
h²=15²-10²=125
h=√125
Volume of cone= 1/3 *π*100*√125=π/3*(100*5√5)=500π√5/3
Volume of sphere=4/3*π*r³=4/3*π*1000=4000π/3
Volume of half sphere=(4000π/3)/2=2000π/3
All Volume=500π√5/3+2000π/3

Given,
Area = 225 yd²
Base = 30 yd
Height = [To be calculated]
To find:
The height of the given triangle.
We know that, area of a triangle is:

Therefore, the require height is 15 yd.
Proof:


Answer:
x = 5√2
Step-by-step explanation:
The triangle on the right is a special right triangle, so we know that the adjacent side to 60° is 5. Since the left triangle is a 45-45-90, the hypotenuse is the leg times √2, so the value of x is 5√2
Answer:
C
Step-by-step explanation:
The circumference (C) of a circle = 2πr ← r is the radius
Given C = 15π the equating gives
2πr = 15π ( divide both sides by 2π )
r =
= 7.5 cm
The area (A) of a circle is calculated using the formula
A = πr² = π × 7.5² = 56.25π cm² → C