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MATH / The solid shown was formed by cutting a right circular cylinder in half. If the…

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problem

The solid shown was formed by cutting a right circular cylinder in half. If the base has a radius of 6 cm and the height is 10 cm, what is the total surface area, in terms of π\pi, of the solid? [asy] import three; size(100); defaultpen(linewidth(.7pt)); currentprojection=orthographic(4,2.5,3); path3 p=arc((0,0,0),(1,0,0),(-1,0,0),(0,0,1)); draw(rotate(45,(0,0,1))*p,dashed); draw(rotate(45,(0,0,1))*((1,0,0)--(-1,0,0)--(-1,0,2)--(1,0,2)--cycle)); draw(rotate(45,(0,0,1))*shift((0,0,2))*p); draw(rotate(118,(0,0,1))*((1,0,0)--(1,0,2))); [/asy]
Plain-text mathematical notation (without MathML)
The solid shown was formed by cutting a right circular cylinder in half. If the base has a radius of 6 cm and the height is 10 cm, what is the total surface area, in terms of π, of the solid? [asy]
import three;
size(100);
defaultpen(linewidth(.7pt));
currentprojection=orthographic(4,2.5,3);

path3 p=arc((0,0,0),(1,0,0),(-1,0,0),(0,0,1));

draw(rotate(45,(0,0,1))*p,dashed);
draw(rotate(45,(0,0,1))*((1,0,0)--(-1,0,0)--(-1,0,2)--(1,0,2)--cycle));
draw(rotate(45,(0,0,1))*shift((0,0,2))*p);
draw(rotate(118,(0,0,1))*((1,0,0)--(1,0,2)));
[/asy]
Original LaTeX notation
The solid shown was formed by cutting a right circular cylinder in half. If the base has a radius of 6 cm and the height is 10 cm, what is the total surface area, in terms of $\pi$, of the solid? [asy]
import three;
size(100);
defaultpen(linewidth(.7pt));
currentprojection=orthographic(4,2.5,3);

path3 p=arc((0,0,0),(1,0,0),(-1,0,0),(0,0,1));

draw(rotate(45,(0,0,1))*p,dashed);
draw(rotate(45,(0,0,1))*((1,0,0)--(-1,0,0)--(-1,0,2)--(1,0,2)--cycle));
draw(rotate(45,(0,0,1))*shift((0,0,2))*p);
draw(rotate(118,(0,0,1))*((1,0,0)--(1,0,2)));
[/asy]

level

Level 4

type

Geometry

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Source and history

task_id
9de15abb-b7a8-518f-a39c-1b936bc27eea
task_key
geometry--test--9de15abb-b7a8-518f-a39c-1b936bc27eea
task_revision_id
1
config / split
geometry / test

Official source

initial import