Maths-
General
Easy
Question
A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?
- 15.9 m3
- 564.15 m3
- 56.415 m3
- 15.975 m3
Hint:
Volume of a cone = (1/3)πr2h
1 ft = 0.3048 m
The correct answer is: 15.975 m3
We have given the dimensions of a cone
Radius, r = 7 ft
Height, h =11 ft
We have to find the volume of the given cone
We know that
Volume of a cone = (1/3)πr2h
= (1/3)(22/7)(7 x 7)(11)
= (1/3)(22)(7 x 11)
= (1/3)(22)(77)
= 1694 / 3
= 564.67 ft3
The volume of cone = 564.67 ft3
1 ft = 0.3048 m
1 ft3 = 0.0283 m3
The volume of cone = 564.67 x 0.0283 = 15.975 m3
Therefore correct option is d) 15.975 m3
The volume of cone = 564.67 ft3
The volume of cone = 564.67 x 0.0283 = 15.975 m3
Therefore correct option is d) 15.975 m3
Related Questions to study
Maths-
Write the factored form of the given expression.
Write the factored form of the given expression.
Maths-General
Maths-
A cone of height 9 Inch has a radius 4 inch , find its volume in cm?
A cone of height 9 Inch has a radius 4 inch , find its volume in cm?
Maths-General
Maths-
The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be (
) of the volume of the given cone, at what height above the base is the section made ?
The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be () of the volume of the given cone, at what height above the base is the section made ?
Maths-General
Maths-
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why
In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why
Maths-General
Maths-
Write the factored form of the given expression.
Write the factored form of the given expression.
Maths-General
Maths-
A cone of height 24 cm has a surface area 550 sq.cm, find its volume?
A cone of height 24 cm has a surface area 550 sq.cm, find its volume?
Maths-General
Maths-
Factor the given expression completely.
Factor the given expression completely.
Maths-General
Maths-
What is the side length of the square shown below? The area of the square is given.
What is the side length of the square shown below? The area of the square is given.
Maths-General
Maths-
The area of the slant surface of a cone is 3080 sq. m. If the radius of its base is 28 m, find its height ?
The area of the slant surface of a cone is 3080 sq. m. If the radius of its base is 28 m, find its height ?
Maths-General
Maths-
Factor the given expression completely.
Factor the given expression completely.
Maths-General
Maths-
A vessel in the form of a inverted cone is filled with water to the brim. Its height is 20 cm and diameter is 16.8 cm Two equal solid cones are dropped in it , so that they are fully submerged.AS a result , one third of the water in the original cone overflows. What is the volume of each of the solid cones submerged?
A vessel in the form of a inverted cone is filled with water to the brim. Its height is 20 cm and diameter is 16.8 cm Two equal solid cones are dropped in it , so that they are fully submerged.AS a result , one third of the water in the original cone overflows. What is the volume of each of the solid cones submerged?
Maths-General
Maths-
A conical tent can accommodate 11 persons . Every person need 4 sq. m of land 20 cm3 of air. Find the height of the tent just for 11 persons .
A conical tent can accommodate 11 persons . Every person need 4 sq. m of land 20 cm3 of air. Find the height of the tent just for 11 persons .
Maths-General
Maths-
Factor the given expression completely.
Factor the given expression completely.
Maths-General
Maths-
The heights of 2 cones are same and the radii of their bases are in the ratio 2:3 , ratio of their volumes is
The heights of 2 cones are same and the radii of their bases are in the ratio 2:3 , ratio of their volumes is
Maths-General
Maths-
Write the factored form of the given expression.
Write the factored form of the given expression.
Maths-General
