Geometry

Problems related to shapes, spaces, measurements, etc.

Problems in this category

The equation of a circle is given as $(x-2)^2 + (y+3)^2 = 16$. We need to find the center and radius...

CircleEquation of a CircleCoordinate Geometry
2025/4/17

The problem gives the equation of a circle as $(x-2)^2 + (y+3)^2 = 16$. We need to find the center a...

CirclesCoordinate GeometryEquations of Circles
2025/4/17

We are given a triangle with sides $a = 8$ cm, $b = 6$ cm, and the angle between them $C = 60^{\circ...

TriangleCosine RuleSide LengthTrigonometry
2025/4/17

The image presents three problems. Let's focus on the first and third problems, as problem two depen...

VolumeConeSurface AreaPyramidArea Calculation
2025/4/17

The problem asks us to find the volume of a composite solid consisting of a cone and a hemisphere. T...

VolumeConeHemisphereComposite Solid3D GeometryApproximationUnits Conversion
2025/4/16

A spherical fountain has a radius of 1.5 feet. Find the volume of the fountain to the nearest tenth...

VolumeSphereRadiusApproximationUnits
2025/4/16

The problem asks us to find the volume of a funnel, which is in the shape of a cone. The radius of t...

ConeVolumePythagorean Theorem3D GeometryMeasurement
2025/4/16

A pyramid has a height of 18 centimeters and a base with an area of 26 square centimeters. We need t...

VolumePyramid3D Geometry
2025/4/16

The problem states that a company makes spherical wax candles. Each candle has a diameter of 18 cm. ...

VolumeSphereCalculation
2025/4/16

A company makes chocolate candies in the shape of a solid sphere. Each candy has a diameter of 9 cm....

VolumeSphere3D GeometryCalculation
2025/4/16