A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm. and the total height of the toy is 10.2 cm., find the volume of the wooden toy (nearly).

The price of $$ {4{1\over2}}$$ meter of cloth is Rs.$$ {60{3\over4}}$$. Find the cost per meter.

Find the cost in rupees for carpeting a room 65dm× 30 dm at Rs. 45 per sq.m

If the right prism having trapezium base, whose parallel side are 13cm and 15cm respectively and the distance between them is 12cm. If the volume of the prism is 2150.4cm^z, then find the height of the prism.

ABCD is cyclic quadrilateral and O is the center of the circle. If ∠COD = 140^o and ∠BAC= 40^o, then the value of ∠ BCD is equal to-

Two circle C1 and C2 touch each other internally at P. Two lines PCA and PDB meet the circles C1 in C, D and C2 in A, B respectively. If ∠BDC = 120^o, then the value of ∠ABP is equal to -

The length & breadth of a rectangle is in ratio 4 : 7. If perimeter is 88 cm. find area of rectangle.

If the perimeter of a rhombus is 80 cm and one of its diagonals is 24 cm, then what is the are (in cm²) of the rhombus?