A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.
Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.2 Question 3
A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm.
Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.2 Question 2
Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)
Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.2 Question 1
1. A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of solid in terms of
.
Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.1 Question 9
9. A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If, the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface area of the article.