Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure.
Correct answer:
Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
See also our right triangle calculator.
See also our trigonometric triangle calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
See also our right triangle calculator.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- geometry
- similarity of triangles
- algebra
- quadratic equation
- equation
- expression of a variable from the formula
- arithmetic
- square root
- square (second power, quadratic)
- solid geometry
- cylinder
- pyramid
- planimetrics
- Pythagorean theorem
- right triangle
- triangle
- basic functions
- maximum
- minimum
- derivation
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Summands
We want to split the number 110 into three summands so that the first and the second summand are in ratio 4:5, and the third with the first are in ratio 7:3. Calculate the smallest summands. - TV competition
In the competition, ten contestants answer five questions, one question per round. Anyone who answers correctly will receive as many points as the number of competitors who answered incorrectly in that round. After the contest, one of the contestants said - The percent 2
The percent return rate of a growth fund, income fund, and money market are 10%, 7%, and 5%, respectively. Suppose you have 3200 to invest and want to put twice as much in the growth fund as in the money market to maximize your return. How should you inve - Test scores
Jo's test scores on the first four 100-point exams are as follows: 96,90,76, and 88. If all exams are worth the same percentage, what is the minimum test score necessary on his last exam to earn an A grade in the class (90% or better)? - Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions. - Three numbers
Create from digits 1-9 three-digit numbers with their sum the smallest. What value is the sum of these numbers? (Use each digit only once) - Gasoline 15
A car consumes 8 liters of gasoline for 20km. How far can it go for 36 liters? - 13 times
1/3 times the sum of a number and 2.6 is 4.9. What is the number? Enter your answer as a simplified mixed number in the box. - The number 10
The number of sides of two regular polygons differ by 1 the sum of the interior angles of the polygons is in the ratio of 3:2 calculate the number of sides of each polygon. - Fraction money
5/8 of a sum of money is £1.10. What is the whole amount? - Fraction equation 3
A number minus one-ninth equals one-half. Find the number. - Farmer 8
Farmer George cultivated 7/12 of his land with oranges and 1/5 of the remainder with cherries, and the remaining 40 acres he planted with cash crops. How much land did the farmer cultivate in all? What fraction of land does she plant with cherries? - The difference 6
The difference between a number and 15 is multiplied by -3, and the result is - 30 - Dimensions 83176
If we reduce the length of the rectangle by 2 cm and the width by 1 cm, its area will decrease by 8 cm². If we increase the length of the rectangle by 1 cm and the width by 2 cm, then its content will increase by 13 cm². What were the original dimensions - A right 3
A right triangle has a perimeter of 300 cm . its hypotenuse is 130cm. What are the lengths of the other sides . - The enrolment 2
The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment?