The problem states that a company makes spherical wax candles. Each candle has a diameter of 18 cm. The company has a total of 76,302 $cm^3$ of wax. We need to determine how many candles can be made, using $\pi = 3.14$.

GeometryVolumeSphereCalculation
2025/4/16

1. Problem Description

The problem states that a company makes spherical wax candles. Each candle has a diameter of 18 cm. The company has a total of 76,302 cm3cm^3 of wax. We need to determine how many candles can be made, using π=3.14\pi = 3.14.

2. Solution Steps

First, we need to find the volume of a single candle. Since the candle is a sphere, we use the formula for the volume of a sphere:
V=43πr3V = \frac{4}{3}\pi r^3
where VV is the volume and rr is the radius. The diameter is 18 cm, so the radius is half of that, or 9 cm. We are told to use π=3.14\pi = 3.14.
V=43(3.14)(93)=43(3.14)(729)=4(3.14)(243)=12.56(243)=3052.08cm3V = \frac{4}{3} (3.14) (9^3) = \frac{4}{3} (3.14) (729) = 4(3.14)(243) = 12.56(243) = 3052.08 \, cm^3
Next, we divide the total volume of wax by the volume of a single candle to find how many candles can be made.
Number of candles =763023052.08=25= \frac{76302}{3052.08} = 25

3. Final Answer

25 candles

Related problems in "Geometry"

The problem states that a sector of radius $r$ is cut from a circular plate. This sector is used to ...

ConeSectorAreaCircumferenceLogarithms
2025/4/18

We are given a cyclic quadrilateral $PQRS$ inscribed in a circle. The angles are given as follows: $...

Cyclic QuadrilateralAnglesLinear EquationsSolving Equations
2025/4/18

The problem asks us to find the measurement of the angle shown in the image, using the provided prot...

Angle MeasurementProtractor
2025/4/17

The problem is to complete a proof that triangle $POR$ is congruent to triangle $TSR$. We are given ...

Triangle CongruenceSASGeometric Proofs
2025/4/17

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

CircleEquation of a CircleCoordinate GeometryDistance Formula
2025/4/17

We are given two points A(1, 3) and B(5, 7). We need to find: (a) The slope of the line passing thro...

Coordinate GeometryLinesSlopeParallel LinesPerpendicular LinesLinear Equations
2025/4/17

The problem asks us to find the slope and equation of a line passing through two given points A(1, 3...

Linear EquationsSlopeParallel LinesPerpendicular LinesCoordinate Geometry
2025/4/17

The problem provides the equation of a circle, $(x-2)^2 + (y+3)^2 = 16$. The task is to find the cen...

CircleEquation of a CircleCoordinate Geometry
2025/4/17

The problem provides the equation of a circle, $(x-2)^2 + (y+3)^2 = 16$. Part (a) asks for the cente...

CirclesCoordinate GeometryDistance Formula
2025/4/17

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