Geometry
Problems related to shapes, spaces, measurements, etc.
Problems in this category
The problem is to identify and describe the graph of the equation $z = \sqrt{16 - x^2 - y^2}$ in thr...
3D GeometrySpheresEquations of SurfacesGraphing
2025/4/15
We need to find the measure of angle $MON$ in the given diagram. We know that $AM$ and $AN$ are tang...
Circle GeometryTangentsAnglesQuadrilaterals
2025/4/15
The problem asks us to identify and sketch the graph of each of the given equations in three-space. ...
3D GeometryElliptical CylinderConic SectionsEquation of a Cylinder
2025/4/15
Prove the trigonometric identity $(1 + \tan A)^2 + (1 + \cot A)^2 = (\sec A + \csc A)^2$.
TrigonometryTrigonometric IdentitiesProofs
2025/4/15
We are given three similar triangles. The sides of the largest triangle are 25, 15, and 20. We need ...
Similar TrianglesAreaPythagorean TheoremRight Triangles
2025/4/14
We need to find the approximate volume of a cylinder. The diameter of the cylinder is 12 cm, and its...
VolumeCylinderAreaPiApproximationUnits
2025/4/14
The problem asks to find the approximate volume of a solid composed of a hemisphere on top of a cyli...
VolumeCylinderHemisphere3D GeometryApproximationCalculation
2025/4/14
We are asked to find the volume of an oblique cylinder. We are given that the base diameter is 8 cm ...
VolumeCylinderOblique CylinderGeometryMeasurement
2025/4/14
The problem asks us to find the volume of a cylinder with radius $r = 1.75$ inches and height $h = 1...
VolumeCylinderGeometric FormulasCalculationsRounding
2025/4/14
The problem asks to find the exact volume of a cylindrical pipe with radius $r = 4.5$ ft and length ...
VolumeCylinderFormulaUnits
2025/4/14