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611. In fig. O is the centre of the bigger circle and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, find the area of the shaded region.

Solution is not provided.

Ans. 770 cm²

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612. A toy is in the form of a cone mounted on a hemisphere of radius 3.5 cm. If the total height of the toy is 15.5 cm, find its total surface area.

open parentheses Use space straight pi space equals space 22 over 7 close parentheses

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613. In fig. AB is a diameter of the circle with centre O and OA = 7 cm. Find the area of the shaded region

open parentheses Use space straight pi space equals space 22 over 7 close parentheses.

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614. If the radii of the circular ends of a conical bucket, which is 45 cm high, are 28 cm and 7

cm, find the capacity of the bucket,

open parentheses Use space straight pi space equals space 22 over 7 close parentheses

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615. A horse is tethered to one comer of a field which is in the shape of an equilateral triangle of side 12 m. If the length of the rope is 7 m, find the area of the field which the horse cannot graze

open parentheses Use space straight pi space equals space 22 over 7 space and space square root of 3 space equals space 1.732 close parentheses

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616. A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of a right circular cone mounted on a hemisphere is immersed into the tub. If the radius of the hemisphere is 3.5 cm and height of cone outside the hemisphere is 5 cm, find the volume of water left in the tub (Take

straight pi

= 22/7).

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617. The inside perimeter of a running track as shown in fig. is 340 m. The length of each of the straight portions is 60 m and the curved portions are semicircles. If the track is 7 m wide, find the area of the track

open parentheses Take space straight pi space equals 22 over 7 close parentheses.

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618. A toy is in the form of a cone mounted on a hemisphere of diameter 7 cm The total height of the toy is 14.5 cm. Find the volume and the total surface area of the toy. (Take

straight pi

= 22/7).

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619. The minute hand of a clock is 12 cm long. Find the area on the face of the clock described by the minute hand in 35 minutes (

straight pi

= 22/7).

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620. Three horses are tethered at 3 comers of a triangular plot having sides 20m, 30m, 40m, with ropes of 7m length each. Find the area of this plot which can be grazed by the horses (Take