The solid lies between planes perpendicular to the \(x\) -axis at \(x = - 1\) and \(x = 1\) . The cross-sections perpendicular to the \(x\) -axis between these planes are squares whose bases run from the semicircle \(y = - \sqrt { 1 - x ^ { 2 } }\) to the semicircle \(y = \sqrt { 1 - x ^ { 2 } }\)
Question
Answer
\(16 / 3\)
Related Questions
Q:
A rabbit is hopping along a garden path at the same time that a bird takes off from the ground and travels \( 425 m \) in a northeasterly direction. What is the angle of elevation between the bird and the rabbit after the rabbit has hopped \( 320 m \) ?
____
Q:
When the sun's angle of elevation is \( 38 \) degrees, a building casts a shadow of \( 45 m \) . How high is the building?
____meters
Q:
An advertising blimp hovers over the football stadium in Detroit, where a very lovely geometry teacher is watching the Green Bay Packers play the Detroit Lions. The pilot of the blimp sights the very lovely geometry teacher at an angle of depression of \( 8 \) degrees. Find the distance between the pilot and the very lovely geometry teacher, if the pilot is waving from an altitude of \( 125 m \) .
____meters
Q:
A person who is \( 1.5 m \) tall is standing \( 20 m \) from the base of a building. The person sights the top of the building with an angle of elevation of \( 58 \) degrees. Find the height of the building to the nearest meter. (Hint: think about what you need to do with the person's height.)
____meters
Q:
What is the distance from Kareem to the house?
Kareem and Amy are standing on a riverbank, \( 150 \) meters apart, at points \( A \) and \( B \) respectively. (See the figure below.) They want to know the distance from Kareem to a house located across the river at point \( C \) . Kareem measures angle \( A \) (angle \( B A C \) ) to be \( 55 ^ { \circ } \) , and Amy measures angle \( B \) (angle \( A B C \) ) to be \( 74 ^ { \circ } \) . What is the distance from Kareem to the house? Round your answer to the nearest tenth of a meter.