(Take $\pi = \frac{22}{7}$)
To find the volume of a cone, we can use the formula for the volume of a cone:
\(V = \frac{1}{3} \pi r^2 h\)
where:
- \(r\) is the radius of the base of the cone.
- \(h\) is the height of the cone.
- \(\pi\) is a constant, where we take \(\pi = \frac{22}{7}\).
Given:
- Radius \((r)\) = 7 m
- Height \((h)\) = 6 m
Substitute the given values into the volume formula:
\(V = \frac{1}{3} \times \frac{22}{7} \times 7^2 \times 6\)
Now calculate:
- First calculate the square of the radius:
- \(r^2 = 7^2 = 49\)
- Substitute \(r^2\) in the formula:
- \(V = \frac{1}{3} \times \frac{22}{7} \times 49 \times 6\)
- Simplify the fraction and multiply:
- \(V = \frac{1}{3} \times 22 \times 7 \times 6\)
- \(V = \frac{1}{3} \times 22 \times 42\)
- \(V = \frac{1}{3} \times 924\)
- Calculate: \(V = 308\) cubic meters
Therefore, the volume of the cone is 308 m3.
Thus, the correct answer is \(308\).
Similar Questions
- The area of the rhombus (in $cm^2$) having each side equal to 13 cm and one of its diagonals equal to 24 cm is:
- If the length of each of the two equal sides of an isosceles triangle is 15 cm and the adjacent angle is 30°, then the area of the triangle is:
- Find the surface area of a ball of radius 21 mm. (Use $\pi = \frac{22}{7}$)
- The volume of a metallic cylindrical pipe is $1232\text{ cm}^3$. If its external radius is 8 cm and thickness is 2 cm, then find the length of the pipe.
A hemispherical bowl has a 21 cm radius. It is to be painted inside as well as outside. The cost of painting it at the rate of ₹0.05 per $cm^2$ and assuming that the thickness of the bowl is negligible, is: (Use $\pi = \frac{22}{7}$)
- The volume of a right circular cylinder of base radius r is obtained by multiplying its curved surface area by:
- The radius of a cylinder is 7 feet. Find the total surface area of the cylinder if the height of the cylinder is 14 feet. (Use $\pi = \frac{22}{7}$)
- If the volume of spheres are 27: 8, then their ratio of surface areas is:
- A hemisphere has 14 cm diameter. Find its volume.
- The perimeter of the rectangle is 280 m and the difference between its two sides is 40 m. Find the side of a square whose area is equal to the area of this rectangle.
Important Questions from Mensuration
A solid cube is painted yellow, blue and black such that opposite faces are of same colour. The cube is then cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are Big. None of the faces of the bigger cubes is painted blue. How many cubes have only one face painted?
A and B are two heavy steel blocks. If B is placed on the top of A, the weight increases by 60%. How much weight will reduce with respect to the total weight of A and B, if B is removed from the top of A?
A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden
A village having a population of 4000 requires 150 liters of water per head per day. It has a tank measuring 20 m x 15 m x 6 m. The water of this tank will last for
The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is
