Maths Made Interesting 3
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MATHS Dr. T.K. Jain. AFTERSCHOOOL www.afterschool.tk www.afterschoool.tk www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
What is the area of a rectangular plot, whose diagonal is 5 m. and one of the side is 3 m. What is the perimeter of the plot? • 25-9 =16^1/2 – other side = 4 • Area = 3*4 = 12 • Perimeter = 2(L+B) = 2(4+3) = 14 www.afterschoool.tk
What is the ratio of area of a square inside a circle, the circle, and a smaller circle inside the square?
• Sq:big circle: smaller circle = • 4:2 pie : pie www.afterschoool.tk
What is the ratio of volume of right circular cylinder and right circular cone of same height and base? • Cylinder:=pie ®^2 *h • Cone = 1/3*pie ® ^2*h • 3:1 ans. www.afterschoool.tk
What is the volume of a right circular cone of height 12 and base 6 Cm. • = 1/3 *pie* (3)^2*12 • =36 pie. • =115 approx.
www.afterschoool.tk
How many square tiles can be put in a room of size 12*15 feet (minimum no.)? • • • •
Calculate HCF of 12 and 15: 3 Area of room = 12*15= 180 No. of tiles required = 180 / 3*3 = 20 ans.
www.afterschoool.tk
What is length of largest pole that can be incribed in a circle of unit radius, a square of unit side, a rectangle of sides 3*4, a cube of side 3? • Circle = 2, square = 2^1/2, rectangle = 5, cube = 3^1/2* 3 www.afterschoool.tk
A cone is cut into two parts by a horizontal plane passing through the mid points of axis. What is the ratio of volume of the two parts (upper and lower) now?
• 1:7 ans.
www.afterschoool.tk
The volume of a sphere is 38808 cu.cm. what is its curved surface area? • 5544 is the answer.
www.afterschoool.tk
Thanks • Afterschoool conducts three year integrated PGPSE (after class 12 along with CA & CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CFP / CFA /CMA / FRM. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing www.afterschoool.tk society.
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
What is the area of a rectangular plot, whose diagonal is 5 m. and one of the side is 3 m. What is the perimeter of the plot? • 25-9 =16^1/2 – other side = 4 • Area = 3*4 = 12 • Perimeter = 2(L+B) = 2(4+3) = 14 www.afterschoool.tk
What is the ratio of area of a square inside a circle, the circle, and a smaller circle inside the square?
• Sq:big circle: smaller circle = • 4:2 pie : pie www.afterschoool.tk
What is the ratio of volume of right circular cylinder and right circular cone of same height and base? • Cylinder:=pie ®^2 *h • Cone = 1/3*pie ® ^2*h • 3:1 ans. www.afterschoool.tk
What is the volume of a right circular cone of height 12 and base 6 Cm. • = 1/3 *pie* (3)^2*12 • =36 pie. • =115 approx.
www.afterschoool.tk
How many square tiles can be put in a room of size 12*15 feet (minimum no.)? • • • •
Calculate HCF of 12 and 15: 3 Area of room = 12*15= 180 No. of tiles required = 180 / 3*3 = 20 ans.
www.afterschoool.tk
What is length of largest pole that can be incribed in a circle of unit radius, a square of unit side, a rectangle of sides 3*4, a cube of side 3? • Circle = 2, square = 2^1/2, rectangle = 5, cube = 3^1/2* 3 www.afterschoool.tk
A cone is cut into two parts by a horizontal plane passing through the mid points of axis. What is the ratio of volume of the two parts (upper and lower) now?
• 1:7 ans.
www.afterschoool.tk
The volume of a sphere is 38808 cu.cm. what is its curved surface area? • 5544 is the answer.
www.afterschoool.tk
Thanks • Afterschoool conducts three year integrated PGPSE (after class 12 along with CA & CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CFP / CFA /CMA / FRM. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing www.afterschoool.tk society.
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
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