Volume & Surface Area
1. The diagram shows a cylinder and a sphere.

The cylinder has radius 12cm and height 30cm.
The cylinder and the sphere have the same volume.
Work out the radius cm of the sphere.
....................... cm
Ai এর মাধ্যমে
১০ লক্ষ+ প্রশ্ন ডাটাবেজ
প্র্যাকটিস এর মাধ্যমে নিজেকে তৈরি করে ফেলো
উত্তর দিবে তোমার বই থেকে ও তোমার মত করে।
সারা দেশের শিক্ষার্থীদের মধ্যে নিজের অবস্থান যাচাই
The volume of Earth is 1.08 × 1012 km3.
The volume of Jupiter is 1.43 × 1015 km3.
How many times larger is the radius of Jupiter than the radius of Earth?
Assume that Jupiter and Earth are both spheres.
This question has 2 part(s).
The base of a cone is fixed to the top of a cylinder to make a decoration.

The radius of the base of the cone and of the cylinder is cm.
The cone’s height is 5 cm.
The total height of the decoration is 6 cm.
The total volume of the decoration is 225 cm3.
Calculate the value of .
Show your working.
............................
A frustum is made by removing a small square-based pyramid from a similar large squared-based pyramid as shown in the diagram.

The height of the small pyramid is 15cm.
The height of the large pyramid is 45cm.
The square base of the large pyramid has side length 39cm.
Work out the total surface area of the frustum. Give your answer correct to the nearest whole number.