V = (pi) R^2 H/3
if radius triples then volume goes as radius squared = 9 times more, so you would need to reduce height by 9 to keep same volume
It must be made a third of its current value, ie divided by 3. The volume of a pyramid is 1/3 x area_base x height. The 1/3 is constant; to keep the volume constant as the base_area changes, the height must vary inversely. If the base_area is tripled, ie multiplied by 3, the height must be reduced to a third, ie divided by 3.
I'd need to review what happened in number-1 before I could answer that. I do know that if only the length of a rectanguar prism is tripled, while the other two dimensions remain unchanged, then its volume triples.
Nothing - if you double the radius you will get the diameter. The area of the circle will remain the same
You cannot. If you rotate the circle around its centre, the lengths of the radius and chord will remain the same but the coordinates of the chord will change.
I don't think so. The focal length would remain the same. It mainly depends on the radius of curvature of the mirror.
It must be made a third of its current value, ie divided by 3. The volume of a pyramid is 1/3 x area_base x height. The 1/3 is constant; to keep the volume constant as the base_area changes, the height must vary inversely. If the base_area is tripled, ie multiplied by 3, the height must be reduced to a third, ie divided by 3.
I'd need to review what happened in number-1 before I could answer that. I do know that if only the length of a rectanguar prism is tripled, while the other two dimensions remain unchanged, then its volume triples.
Nothing - if you double the radius you will get the diameter. The area of the circle will remain the same
The height would remain the same.
Fossils.
You cannot. If you rotate the circle around its centre, the lengths of the radius and chord will remain the same but the coordinates of the chord will change.
the answer is petrified fossils
young modulus remain unaffected ...as it depends on change in length ..
Until changed.
remain the same
No - if the lengths of the sides are all increased by a factor of 3, the angles remain unchanged. You just wind up with a "similar" triangle 3 times the size of the original. A quick counterexample would be to consider what would happen if the angles DID change. The sum of the angles in the original triangle should be 180°. If the angles in the new, larger triangle tripled in size, the sum of the angles in the bigger triangle would be 540° - but the sum of the angles of a triangle should always remain 180°.
When the tempo is changed, the melody may sound faster or slower, but the notes and structure of the melody remain the same.