Respuesta :
Answer:
1. 15in^2
2. 3421.19in^3
3. 11494.04cm^3
4. Radius is 3.1
Hope this helps!
Step-by-step explanation:
The area of the base of first cylinder is 47.05 in², volume of a cone is 3421.2 in³, the volume of a sphere is 11494.04 cm³ and the radius of last sphere is 3.102 cm.
What is of volume of cylinder?
Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.
Volume of cylinder can be given as,
V=πr²h
Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.
The area of the base of a cylinder with a volume of 240π in³ and a height of 16 inches has to be find out. The radius of this cylinder is,
V=πr²h
240π=πr²(16)
r=√(240/16)
r=3.87 in
Thus, the surface area of the base is
A=πr²
A=π(3.87)²
A=47.05 in²
The volume of a cone with a height of 27 inches and a radius of 11 inches is,
V=(πr²h)/3
V=(π(11)²(27))/3
V=3421.2 in³
The volume of a sphere with a radius of 14 cm is;
V=(4πr³)/3
V=(4π(14)³)/3
V=11494.04 cm³
The volume of a sphere is 125 π cm³. The radius of it is,
V=(4πr³)/3
125=(4πr³)/3
r=∛(93.75/π)
r=3.102 cm.
Thus, the area of the base of first cylinder is 47.05 in², volume of a cone is 3421.2 in³, the volume of a sphere is 11494.04 cm³ and the radius of last sphere is 3.102 cm.
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