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MATH / The truncated right circular cone below has a large base radius 8 cm and a small…

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problem

The truncated right circular cone below has a large base radius 8 cm and a small base radius of 4 cm. The height of the truncated cone is 6 cm. The volume of this solid is nπn \pi cubic cm, where nn is an integer. What is nn? [asy] import olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4; draw(ellipse((0,0),4,1)); draw(ellipse((0,3),2,1/2)); draw((-3.97,.1)--(-1.97,3.1)^^(3.97,.1)--(1.97,3.1)); [/asy]
Plain-text mathematical notation (without MathML)
The truncated right circular cone below has a large base radius 8 cm and a small base radius of 4 cm. The height of the truncated cone is 6 cm.  The volume of this solid is nπ cubic cm, where n is an integer.  What is n? [asy]
import olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4;
draw(ellipse((0,0),4,1)); draw(ellipse((0,3),2,1/2));
draw((-3.97,.1)--(-1.97,3.1)^^(3.97,.1)--(1.97,3.1));

[/asy]
Original LaTeX notation
The truncated right circular cone below has a large base radius 8 cm and a small base radius of 4 cm. The height of the truncated cone is 6 cm.  The volume of this solid is $n \pi$ cubic cm, where $n$ is an integer.  What is $n$? [asy]
import olympiad; size(150); defaultpen(linewidth(0.8)); dotfactor=4;
draw(ellipse((0,0),4,1)); draw(ellipse((0,3),2,1/2));
draw((-3.97,.1)--(-1.97,3.1)^^(3.97,.1)--(1.97,3.1));

[/asy]

level

Level 4

type

Geometry

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Source and history

task_id
91c09116-d1e5-5648-a8f6-35778a2f2fa6
task_key
geometry--test--91c09116-d1e5-5648-a8f6-35778a2f2fa6
task_revision_id
1
config / split
geometry / test

Official source

initial import